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Area and Perimeter on the Coordinate Plane

Total questions: 20

Worksheet time: 48mins

Name
Class
Date
1.
What is the area of the rectangle?
a)
28 units squared
b)
45 units squared
c)
33 units squared
d)
19 units squared
2.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
3.

What is the area of the triangle?

a)

60 square units

b)

90 square units

c)

45 square units

d)

30 square units

4.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
5.

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

65

b)

8.06

c)

14

d)

19.06

6.

What is the area (in square units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

19.06

b)

14

c)

28

d)

8.06

7.
On a map, John’s school is located at (4, -5), the McDonald’s is located at (4, 3), the mall is located at (2, -5) and his home is situated at (2,3). What is the area between the four locations? 
a)
8 square units
b)
10 square units 
c)
16 square units
d)
20 square units
8.

Find the exact area of  ΔRST\Delta RST  

a)

 93+159\sqrt{3}+15  

b)

 95+159\sqrt{5}+15  

c)

45

d)

90

9.

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?

a)

2102\sqrt{10}

b)

4104\sqrt{10}

c)

40

d)

20

10.

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?

a)

20\sqrt{20}

b)

40\sqrt{40}

c)

4204\sqrt{20}

d)

4404\sqrt{40}

11.
What is the area of the triangle below?
a)
2 square units
b)
2.5 square units
c)
3 square units
d)
3.5 square units
12.
What is the area of this figure?
a)
7 units2
b)
15 units2
c)
7 1/2 units2
d)
15 1/2 units2
13.

What are the lengths of the rectangles?

a)

√17 & √71

b)

6 & 3

c)

√13 & √52

d)

√15 & √63

14.

What is the perimeter of the rectangle? (Round to the nearest tenth)

a)

18

b)

about 23.6

c)

about 25.1

d)

about 21.6

15.

What are the lengths of the triangle's sides?

a)

6, 7, & 8

b)

5, 5, & √7

c)

5, 5, & √10

d)

3, 4, & 5

16.

What is the perimeter of the triangle? (Round to the nearest tenth)

a)

12

b)

about 13.2

c)

21

d)

about 12.6

17.

(-5,0) (5,0) (5,-5) (-5,-5) Find the area AND the perimeter. Choose both answers.

a)

area = 30 units2

b)

area = 50 units2

c)

perimeter = 50 units

d)

perimeter = 30 units

18.
Approximately, what is the area of the circle?
a)
9.42 sq. units
b)
18.84 sq. units
c)
15.7 sq. units
d)
28.26 sq. units
19.
A circle  has a center at (-2,-7). The radius of the circle extends to the point (3, -7).  What is the circumference of the circle?
a)
5π units
b)
10π units
c)
15π units
d)
20π units
20.

Which triangles has an area of 22.5 square units?

Select all that apply.

a)
b)
c)
d)