Free Printable Understanding Area and Perimeter

1.

Which of the following statements correctly describes the multiplication expression $4 \times 15$ ?

a)

4 times as much as 15

b)

15 times as much as 4

c)

4 plus 15

d)

15 minus 4

2.

A rectangle has a length of 7 units and a width of 5 units. What is its area?

a)

12 square units

b)

35 square units

c)

24 square units

d)

17 square units

3.

A composite figure is made by joining a $3 \times 4$ rectangle and a $2 \times 4$ rectangle side by side. What is the total area of the figure?

a)

12 square units

b)

8 square units

c)

20 square units

d)

24 square units

4.

A square is divided into 4 equal parts. What is the area of each part as a unit fraction of the whole?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

5.

A rectangle has 6 rows and 8 unit squares in each row. What is the area of the rectangle?

a)

14 square units

b)

48 square units

c)

42 square units

d)

24 square units

6.

A triangle has side lengths of 5 cm, 7 cm, and 6 cm. What is the perimeter of the triangle?

a)

18 cm

b)

16 cm

c)

17 cm

d)

19 cm

7.

Which multiplication expression means "5 times as much as 9"?

a)

$5 + 9$

b)

$5 \times 9$

c)

$9 \div 5$

d)

$9 - 5$

8.

A rectangle is made up of 4 rows with 9 unit squares in each row. What is the area?

a)

36 square units

b)

13 square units

c)

45 square units

d)

28 square units

9.

A composite figure is made by joining a $2 \times 6$ rectangle and a $3 \times 2$ rectangle. What is the total area?

a)

12 square units

b)

18 square units

c)

10 square units

d)

16 square units

10.

A rectangle is divided into 5 equal parts. What is the area of each part as a unit fraction of the whole?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

11.

A rectangle has a length of 9 units and a width of 3 units. What is its area?

a)

27 square units

b)

12 square units

c)

18 square units

d)

6 square units

12.

A rectangle has a perimeter of 20 units. If one side is 6 units and the opposite side is also 6 units, what is the length of each of the other two sides?

a)

4 units

b)

5 units

c)

6 units

d)

8 units

13.

Which multiplication expression means "7 times as much as 8"?

a)

$7 + 8$

b)

$7 \times 8$

c)

$8 \div 7$

d)

$8 - 7$

14.

A rectangle is made up of 5 rows with 7 unit squares in each row. What is the area?

a)

35 square units

b)

12 square units

c)

25 square units

d)

30 square units

15.

A composite figure is made by joining a $4 \times 3$ rectangle and a $2 \times 3$ rectangle. What is the total area?

a)

12 square units

b)

18 square units

c)

15 square units

d)

20 square units

16.

A square is divided into 2 equal parts. What is the area of each part as a unit fraction of the whole?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

17.

A rectangle has a length of 8 units and a width of 2 units. What is its area?

a)

16 square units

b)

10 square units

c)

12 square units

d)

6 square units

18.

A pentagon has side lengths of 3 cm, 4 cm, 5 cm, 4 cm, and 4 cm. What is the perimeter?

a)

18 cm

b)

20 cm

c)

15 cm

d)

16 cm

19.

Which multiplication expression means "6 times as much as 11"?

a)

$6 + 11$

b)

$6 \times 11$

c)

$11 \div 6$

d)

$11 - 6$

20.

A rectangle is made up of 3 rows with 12 unit squares in each row. What is the area?

a)

36 square units

b)

15 square units

c)

24 square units

d)

30 square units

21.

A composite figure is made by joining a $5 \times 2$ rectangle and a $3 \times 2$ rectangle. What is the total area?

a)

10 square units

b)

16 square units

c)

12 square units

d)

14 square units

22.

A rectangle is divided into 3 equal parts. What is the area of each part as a unit fraction of the whole?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{4}$

d)

$\frac{1}{5}$

23.

A rectangle has a length of 10 units and a width of 4 units. What is its area?

a)

40 square units

b)

14 square units

c)

24 square units

d)

36 square units

24.

A rectangle has a perimeter of 18 units. If one side is 5 units and the opposite side is also 5 units, what is the length of each of the other two sides?

a)

4 units

b)

5 units

c)

6 units

d)

8 units

25.

Which multiplication expression means "8 times as much as 7"?

a)

$8 + 7$

b)

$8 \times 7$

c)

$7 \div 8$

d)

$7 - 8$

26.

A rectangle is made up of 2 rows with 11 unit squares in each row. What is the area?

a)

22 square units

b)

13 square units

c)

20 square units

d)

18 square units

27.

A composite figure is made by joining a $6 \times 2$ rectangle and a $2 \times 2$ rectangle. What is the total area?

a)

12 square units

b)

16 square units

c)

14 square units

d)

10 square units

28.

A rectangle is divided into 6 equal parts. What is the area of each part as a unit fraction of the whole?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{1}{6}$

d)

$\frac{1}{5}$

29.

A rectangle has a length of 12 units and a width of 3 units. What is its area?

a)

36 square units

b)

15 square units

c)

24 square units

d)

30 square units

30.

A hexagon has side lengths of 4 cm each. What is the perimeter?

a)

20 cm

b)

18 cm

c)

24 cm

d)

16 cm

31.

The area of the rectangle is 8 ¼ square inches.

What is the perimeter?

(Give the answer as a mixed number in lowest terms)

32.

Emma and Olivia are building a magical garden! Can you help them find the perimeter and area of their enchanting figure? Don't forget to include the unit!

Perimeter = (a) (b)

Area = (c) (d)

Choose from the below words

26

cm

36

square cm

13

Square unit

22

33.

Three shipping labels are shown

Select True or False

The perimeter and area of Shipping Label C is the same. (a)

Choose from the below words

True

False

34.

Find the perimeter and area of the rectangle.

Perimeter = (a) (b)

Area = (c) (d)

Choose from the below words

26

cm

36

square cm

13

Square unit

22

35.

This rectangle has side lengths r and s.

Look at each of the expressions and determine whether it gives the perimeter of the rectangle, the area of the rectangle, or neither.

Match each expression to the categories.

a)

Perimeter

1.

r+ r + s+s

b)

Area

2.

r * s

c)

Neither

3.

$r^2+s^2$

36.

What is the perimeter and area of the figure? Include the unit.

Perimeter = (a) (b)

Area = (c) (d)

Choose from the below words

26

cm

36

square cm

13

Square unit

22

37.

Three shipping labels are shown

Select True or False

The perimeter and area of Shipping Label C is the same. (a)

Choose from the below words

False

True

38.

Chad will have new carpet put on the rectangular floors of two rooms in his house. One floor is $12\ \frac{1}{2}\ feet$ long, and the other floor is $15\ \frac{3}{4\ }feet$ long. Each floor has a width of 10 feet. What is the total area in square feet of the new carpet?

a)

125 $ft^2$

b)

157.5 $ft^2$

c)

282.5 $ft^2$

d)

96.5 $ft^2$

39.

What is the perimeter of the triangle in miiles?

40.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

41.

Work out the perimeter of this triangle.

42.

Work out the perimeter of this triangle.

hint: use pythagorean theorem

43.

Which expression means the same as 7 x 60?

a)

7 x 6 + 0

b)

7 x 6 x 0

c)

7 x 6 + 10

d)

7 x 6 x 10

44.

¼ x ¾ =

a)

3/16

b)

3/8

c)

4/8

d)

4/16

45.

Which expression is equal to 3 × 11?

a)

3 x 10 + 3 x 1

b)

3 x 10 x 3 x 1

c)

3 + 10 + 3 x 1

d)

3 x 11 + 3 x 11

46.

I have an area of 20 square units. What could be my multiplication equation?

a)

9 + 11=?

b)

2 X 10=?

c)

5 x 5=?

d)

10 + 10=?

47.

Kayleigh drew this diagram.

What multiplication expression can be represented by the diagram?

a)

135 - 3 =

b)

3 X 135 =

c)

135 + 3 =

48.

Select all the possible ways she could cut her fabric.

a)

A

b)

B

c)

C

d)

D

e)

E

49.

Clare drew this diagram.

What multiplication expression can be represented by the diagram?

a)

135 - 3 =

b)

3 X 135 =

c)

135 + 3 =

50.

Which set of expressions completes the table?

a)

5x5, 5x10, 5x15

b)

5+5, 5+10, 5+15

c)

5+25, 5+50, 5+75

51.

Determine the area of the composite figure shown below.

a)

168 centimeters squared

b)

98 centimeters squared

c)

84 centimeters squared

d)

70 centimeters

52.

What is the area for question number 4? Do NOT round.

53.

Match the following

a)

B

1.

area of the base

b)

b

2.

base

c)

h

3.

height

d)

$x^2$

4.

squared units

e)

$x^3$

5.

cubed units

54.

Find the area of the figure

55.

What is the area of the figure to the nearest tenth?

56.

Find the area of the figure. (Sides meet at right angles)

57.

What is the area of the semicircle?

(a)

What is the area of the rectangle?

(b)

What is the area of the right triangle?

(c)

What is the total area of the composite figure? (d)

Choose from the below words

A = 6 squared cm

A = 24 squared cm

A = 8 squared cm

A = 38 squared cm

A = 3 squared cm

A = 16 square cm

A = 10 squared cm

A = 44 squared cm

58.

The area of this figure is (a) .

Choose from the below words

61 sq units

28 sq units

76 sq units

40 sq units

59.

What is the area of the square? (a)

What is the area of the triangle? (b)

What is the total area of the composite figure? (c)

Choose from the below words

$81\ in^2$

$18\ in^2$

99 in

72\ in^2

27\ in^2

58.5\ in^2

22.5\ in^2

60.

What is the areas of this figure?

61.

What is the area of this composite figure?

62.

What is the area in square feet?

A = b(h)

OR

A = L(W)

63.

What is the fraction called?

a)

fourths

b)

halves

c)

quarters

d)

thirds

64.

Which figure shows one fourth of a candy bar?

a)

Figure 1

b)

Figure 2

c)

Figure 3

65.

Which loaf of bread would each piece of the loaf be 1/4 of the loaf?

a)

Loaf 1

b)

Loaf 2

c)

Loaf 3

66.

Which figure shows halves?

a)

Figure 1

b)

Figure 2

c)

Figure 3

67.

Erin folded the piece of paper below into eight equal parts. She will color the part with the number 3 on it green.

What Fraction of the paper will Erin color green?

a)

1/3

b)

3/1

c)

1/8

d)

8/8

68.

What fraction is green?

a)

1/4

b)

2/4

c)

2/3

d)

2/3

69.

What fraction is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

70.

What unit fraction is represented by the picture?

a)

1/3

b)

1/2

c)

1/4

d)

1

71.

A square with a side length of $9$ has an area of (a) .

A square with a side length of (b) has an area of $9$ .

Choose from the below words

$81$

$3$

6

18

72.

Ricardo built a square floor for his storage shed. Each side was 10 meters long. What was the area of the floor?

Record your answer. Be sure to use the correct place value.

73.

Find the area of a square with a length of 6cm.

74.

Area of a Square

A = (a) $\ ^2$

Choose from the below words

side

base

height

base 1

base 2

\frac{1}{2}

diagonal 1

diagonal 2

length

width

75.

The width of a square is 20 inches. Therefore, the area of the square is (a)

Choose from the below words

$400\ square\ inches$

80 square inches

40 square inches

200 square inches

76.

The side length of a square garden is 5 feet. Julio uses the formula (a) to find how big his garden is so he can buy some soil. He finds that his garden covers (b) .

Choose from the below words

a=s x s

25 square feet

a= 4 x s

p=2(l)+2(w)

25 feet

15 feet

77.

Match the following....

a)

The opposite of squaring a value

1.

Square Root

b)

To calculate AREA of square

2.

Multiply side length by itself

c)

Given the Area of a Square

3.

Square Root Area to find the side length

d)

Given the Perimeter of a Square

4.

Divide by 4 to find side length

e)

To calculate perimeter of square

5.

Multiply side length by 4.

78.

The area of square 2 is 225 inches squared and the perimeter of square 1 is 100 inches, what is the area of square 3? Label the side lengths as well.

a)10 in

b)15 in

c)25 in

d)Area= 400

e)Area= 40

f)Area =20

g)20 in

1

2

3

4

1)

2)

3)

4)

79.

If the perimeter of square a is 36in and he perimeter of square b is 48in, then find the area of square c AND fill in the missing side lengths.

a)96in

b)72in

c)8in

d)Area= 15

e)Area=30

f)Area= 225

g)9in

h)6in

i)12in

j)15in

1

2

3

4

1)

2)

3)

4)

80.

What is the area of the square base in square inches?

81.

What formula would you use to find the area of a square?

A

B

C

D

E

F

Understanding Area and Perimeter

Total questions: 81

Worksheet time: 3hrs 39mins

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