WorksheetsUNIT 10: GEOMETRIC MODELING IN 2D
Total questions: 194
Worksheet time: 9hrs 6mins
The space inside an object is called it's
area
perimeter
The distance around an object is called the
area
perimeter
length
What is the area?
35 cm
30 cm
35 sq cm
12 cm
What is the perimeter?
24 sq cm
24 cm
35 sq cm
35 cm
What is the perimeter and area of this square?
(click to show image)
20 cm; 25 sq cm
10 cm; 25 cm
10 square cm; 25 cm
20 square cm; 25 cm
What is the PERIMETER of this rectangle?
22 sq. yd.
22
22 cm
22 yd.
What is the AREA of this rectangle?
28 square yards
28 yards
22 square yards
22 yards
What is the area of the rectangle?
15 sq cm
15 cm
16 sq cm
16 cm
What is the perimeter of the rectangle?
15 cm
16 cm
15 sq cm
15 cm
What is the perimeter of the rectangle?
28 sq feet
28 feet
48 feet
48 sq feet
What is the area of the rectangle?
48 sq feet
48 sq inches
28sq feet
28 feet
What is the area of this rectangle?
12cm
8 sq cm
6 sq cm
8cm
Find the perimeter
40 ft
28 ft
14 ft
40 sq ft
Find the area
26 cm
13 cm
36 cm
36 square cm
Find the perimeter.
26 cm
13 cm
36 cm
36 square cm
Find the area
40 square ft
40 ft
28 ft
14 ft
What is the perimeter of this rectangle?
8 cm
8 sq cm
6 cm
12 cm
(click to show image)
(click to show image)
The perimeter of a rectangle is 34 meters. The width is 4 meters. What would the length be?
17 m
13 m
15 m
30 m
(click to show image)
(click to show image)
What is the area of the trapezoid?
about 14 cm
about 54 cm
about 36 cm
about 10 cm
What is the name of this figure?
trapezoid
triangle
square
rectangle
What is the area of this figure?
56 cm2
112 cm2
16 cm2
60 cm2
A right trapezoid is shown. What is the area, in square feet, of the trapezoid?
30 ft2
18 ft2
16 ft2
20 ft2
What is the area of the figure plotted on the coordinate grid?
26 units2
35 units2
40 units2
48 units2
What is the perimeter of the figure plotted on the coordinate grid?
48 units
26 units
40 units
35 units
A figure is being plotted on the coordinate grid. Where would the last point need to be plotted in order to finish the figure?
(6 , 4)
(4 , 6)
(-4 , 6)
(-6 , 4)
What is the area of the figure plotted on the coordinate grid?
20 units2
14 units2
10 units2
15 units2
Decompose this irregular figure and find its total area.
162 in2
27 in2
17 in2
24 in2
What is the area of this irregular figure?
17.5 units2
17 units2
21 units2
16.5 units2
Decompose this irregular figure and find its combined area.
36 cm2
42 cm2
144 cm2
15 cm2
Decompose the irregular shape and find its total area.
96 units2
152 units2
192 units2
240 units2
Find the area of the trapezoid. (follow steps on board)
18 m2
165 m2
84 m2
22.5 m2
What is the perimeter of an Olympic-size swimming pool?
150 m
125 m
135 m
165 m
Find the area of the trapezoid.
A = 19 cm2
A = 39 cm2
A = 78 cm2
A = 120 cm2
What is the perimeter?
24 units
18 units
22 units
32 units
Calculate the area:
2530 yds2
2670 yds2
101 yds2
354 yds2
Find the area. 1/2 (bh)
102 ft2
204 ft.2
46 ft
51 ft2
What is the perimeter of the shape?
20 units
12 units squared
22 units
32 units squared
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?
4 units
5 units
6 units
8 units
Find the distance between J and K.
8.2
7.7
9
10.2
What is the distance between the two points?
6.3
6.5
6.7
16
What is the area of the triangle?
60 square units
90 square units
45 square units
30 square units
What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?
65
8.06
14
19.06
Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, -3)and . What is the area of the square?
210
410
40
20
Find the area of this parallelogram
110cm2
100cm2
1100cm2
50cm2
The vertices of the giraffe exhibit at a Zoo are E(0,90), F(60, 90), G (100,30), and H (0,20). The coordinates are measured in feet. What is the area of the exhibit?
72 feet2
48 feet2
4800 feet2
7200 feet2
9600 feet2
Calculate the area of the shaded figure.
56 units squared
76 units squared
96 units squared
106 units squared
Find the exact area of ΔRST
93+15
95+15
45
90
The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3) and V-5,7). What is the perimeter of RSTV?
20
40
420
440
What are the lengths of the rectangles?
√17 & √71
6 & 3
√13 & √52
√15 & √63
What is the perimeter of the rectangle? (Round to the nearest tenth)
18
about 23.6
about 25.1
about 21.6
What are the lengths of the triangle's sides?
6, 7, & 8
5, 5, & √7
5, 5, & √10
3, 4, & 5
What is the perimeter of the triangle? (Round to the nearest tenth)
12
about 13.2
21
about 12.6
(-5,0) (5,0) (5,-5) (-5,-5) Find the area AND the perimeter. Choose both answers.
area = 30 units2
area = 50 units2
perimeter = 50 units
perimeter = 30 units
Which triangles has an area of 22.5 square units?
Select all that apply.
A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?
240feet 2
32 feet 2
64 feet 2
40feet 2
What is the perimeter of the parallelogram? (Round to the nearest tenth)
16.3
18
18.3
18.9
What is the area of the parallelogram?
18 units2
20 units2
24 units2
30 units2
The area of the trapezoid is (a) square units.
The area of the parallelogram is (a) square units.
What is the area of the deck surrounding the pool?
66 square units
21 square units
24 square units
45 square units
Why isn't the area of the sidewalk 45 square units?
45 square units is the area of only the pool
45 square units is the perimeter of the pool and sidewalk together
45 square units is the perimeter of the pool
45 square units is the area of the pool and sidewalk together
What is the perimeter of a rectangle with corners at (2,2), (2,-4), (-5,-4), and (-5,2).
13 units
26 units
42 units
10 units
The area of a shape with these coordinates is (a) square units.
(Write your answer using digits)
There is the same amount of red as there is white inside this rectangle.
True
False
What is the area of this figure?
7 units2
15 units2
7.5 units2
15.5 units2
What is the perimeter of the shape?
20 units
12 square units
22 units
10 units
What is the area of the shape?
35 square units
24 square units
10 square units
576 square units
Calculate the area of the right triangle. Figure is not drawn to scale.
24ft2
12ft2
16ft2
10ft2
Find the area of this trapezoid.
26 ft2
20 ft2
52 ft2
40 ft2
Find the area of the parallelogram.
20ft2
80ft2
96ft2
120ft2
Find the area of the parallelogram
14.5 ft2
48.5 ft2
52 ft2
7.3 ft2
What is the area of the rectangle?
28 square units
45 square units
33 square units
19 square units
What is the area of the triangle?
60 square units
90 square units
45 square units
30 square units
Find the area of the trapezoid.
40 square units
19 square units
26 square units
20 square units
Find the area of square ABCD.
4
42
82
8
Find the area of triangle ABC.
4
6
14
28
Find the area of rectangle ABCD. (Hint: You'll need to use the distance formula to find the side lengths).
4.47
11.18
13.42
22.36
What is the area of the rectangle? (Round to the nearest tenth)
18 units2
26 units2
about 30.7 units2
about 34.7 units2
What is the length of the triangle's base?
3
4
5
6
What is the height of the triangle?
3
4
5
6
What is the formula for area of a triangle?
Area = base x height
Area = ((base1 + base2)/2)(height)
Area = base2
Area = 1/2 x base x height
What is the area of the triangle?
7.5 units2
10 units2
12.5 units2
15 units2
What is this shape called?
Trapezoid
Parallelogram
Square
Rectangle
What is the length of the sides?
6, 6, √10, & √10
3, 3, 6, & 6
5, 5, √10, & √10
6, 6, √12, & √12
What is the height of the parallelogram? (*Hint: look the shape a different way → it may help to look at it when it is rotated)
2
3
4
5
What is the length of the parallelogram's base? (*Hint: look the shape a different way → it may help to look at it when it is rotated)
4
5
6
7
What is the name of this shape?
Trapezoid
Parallelogram
Rhombus
Square Pyramid
What is the length of base1? (*Hint: base1 is the smaller base)
3
4
5
6
What is the length of base2? (*Hint: base2 is the bigger base)
4
6
8
9
What are the lengths of the trapezoid's legs? (*Hint: the legs of the trapezoid are the two other sides that are NOT parallel opposite sides)
√15
4
√18
√20
What is the perimeter of the trapezoid? (Round to the nearest tenth)
about 19.7
20
about 20.4
about 20.9
What is the formula for area of a trapezoid?
A = base x height
A = base2
A = ((base1+base2) / 2) x (height)
A = 1/2 x base x height
What is the height of the trapezoid? (*Hint: look the shape a different way → it may help to look at it when it is rotated)
3
4
6
8
What is the area of the trapezoid?
36 units2
18 units2
24 units2
48 units2
What is the area of Jamal's deck?
28 square units
48 square units
100 square units
140 square units
What shape is formed by the points on the plane?
Triangle
Rectangle
Square
Circle
The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the area of the rectangle?
12 square units
15 square units
20 square units
16 square units
What is the area of the triangle?
64 units squared
32 units squared
56 units squared
28 units squared
What is the area of the shape?
15 square units
30 square units
12 square units
24 square units
What is the area of this shape?
30 units2
32 units2
23 units2
36 units2
Find the area of the shape.
50 units2
35 units2
70 units2
40 units2
Find the area of the shape.
42 units2
66 units2
28 units2
33 units2
Make the shape with points A(-3,-3), B(-3,5), C(-2,5), D(-2,-3). What is the area?
area = 8 units2
area = 18 units2
area = 10 units2
area = 22 units2
What is the area of this shape?
21 units2
42 units2
24 units2
20 units2
If a square has a perimeter of 20 units. How long is each side length?
4 units
5 units
10 units
2 units
Samantha measures the PERIMETER of a common shape. One of the sides is 6 inches long, and the perimeter is 24 inches. If all of the sides are the same length, what shape does Samantha measure?
You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M (9, 1). The coordinates are measured in feet. What is the area of the tree house?
28 feet2
49 feet2
56 feet2
64 feet2
Calculate the area of the right triangle. Figure is not drawn to scale.
24ft2
12ft2
16ft2
10ft2
Consider the figure. The figure is not drawn to scale.
What is the area of the figure?
114cm2
32cm2
168cm2
228cm2
A rectangular yard has an area of 450 square feet. If the yard is 15 feet wide, how long is the yard?
20 feet
30 feet
81 feet
90 feet
What is the length of line segment AC?
10 units
15 units
13 units
12 units
A plan to build a model rocket is shown below. Figure is not drawn to scale.
What is the total area of the figure shown in the plan?
98in2
104in2
112in2
136in2
Study the triangle. Figure is not drawn to scale.
What is the area of the triangle?
120cm2
80cm2
60cm2
40cm2
Find the area of the parallelogram.
20ft2
48ft2
96ft2
120ft2
What is the area of the shaded region in the figure shown below?
12 square feet
28 square feet
40 square feet
52 square feet
Determine the area, in square units, of the polygon shown below on the coordinate plane.
14 square units
17 square units
18 square units
22 square units
