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Geometry
Math
Middle School Math

 

Name _____________________________
Date ___________________
Perimeter and Area
Complete.
1.   If the base of a rectangle is 24.3 cm and the area is 580.77 cm2, what is the height of the rectangle?
2.   What is the perimeter of a parallelogram with base 9 cm, side length 27 cm, and height 20 cm?




Find the area.
3.   Find the area of the square whose vertices are
(-4, -1), (0, -1), (-4, 3), and (0, 3)
4.   Find the area of the square whose vertices are
(7, 2), (7, -1), (2, 2), and (2, -1)

Complete.
5.   If the height of a rectangle is 9 3/4 m and the base is 5 3/5 m, what is the perimeter of the rectangle?
6.   If the height of a rectangle is 1 1/4 m and the base is 6 1/2 m, what is the area of the rectangle?

Complete.
7.   The perimeter of a rectangle is 40 m. The base is four less than five times the height. What is the height?
8.   The area of a rectangle is 243 m2. The height is nine less than four times the base. What is the perimeter?

 

Key #2
Complete.
9.   What is the height of a triangle with base 28 m and area 406 m2?
10.   What is the area of a triangle with base 15 cm and height 24 cm?

Find the missing measurement of each trapezoid.
11.  
height  =  8.8 cm
b1  =  ________
b2  =  24.2 cm
area  =  135.08 cm2
12.  
height  =  ________
b1  =  9 m
b2  =  24 m
area  =  462 m2
13.  
height  =  12 mm
b1  =  25 mm
b2  =  18 mm
area  =  ________

Find the area.
14.   Find the area of the triangle whose vertices are
(4, 0), (4, 6), and (1, 0)
15.   Find the area of the triangle whose vertices are
(3, 5), (0, 5), and (3, -4)

Find the area.
16.   Find the area of the parallelogram whose vertices are
(-5, 1), (-2, 1), (0, -3), and (-3, -3)
17.   Find the area of the parallelogram whose vertices are
(2, -2), (-2, 3), (-2, -2), and (2, 3)

 

Key #2
Find the area.
18.   Find the area of the trapezoid whose vertices are
(1, 2), (4, 2), (-1, -2), and (4, -2)
19.   Find the area of the trapezoid whose vertices are
(4, 0), (-4, 4), (0, 0), and (4, 4)

Complete.
20.   What is the length of the base of a triangle with height 10 m and area 23 1/3 m2?
21.   What is the area of a triangle with base 3 1/5 m and height 3 m?

Find the missing measurement of each trapezoid.
22.  
height  =  ________
b1  =  8 cm
b2  =  6 cm
area  =  23 1/3 cm2
23.  
height  =  4 1/3 mm
b1  =  6 1/3 mm
b2  =  3 1/2 mm
area  =  ________
24.  
height  =  9 m
b1  =  4/5 m
b2  =  ________
area  =  18 9/40 m2

Find the missing length for each right triangle. Simplify your answer.
25.  
a  =  7
b  =  63
c  =  ________
26.  
a  =  ________
b  =  2
c  =  
 2 
290
27.  
a  =  40
b  =  ________
c  =  
 2 
449

 

Key #2
Find the circumference of each circle. State your answer in terms of and also round your answer to the nearest tenth.
28.  
radius =   23 cm
29.  
radius =   12.62 cm
30.  
diameter =   
5

3
 m

Find the area of each circle. State your answer in terms of and also round your answer to the nearest tenth.
31.  
radius =   11 mm
32.  
diameter =   49.36 mm
33.  
diameter =   44 mm

Find the radius of the circle. (use = 3.14)
34.  
C  =  37.28 cm
35.  
A  =  1661.06  mm2
36.  
C  =  152.16 m

Find the area.
37.   Find the area of the rectangle whose vertices are
(5, 0), (0, 3), (0, 0), and (5, 3)
38.   Find the area of the triangle whose vertices are
(0, 15), (0, 6), and (8, 6)

 

Key #2
Complete.
39.   Madison has designed a small oval racetrack for her remote control car. Her design is shown in the following figure. She has two curves, each of which is half of a circle. She also has two straight-aways that she wants to connect to the circles. The curves are on a radius of twenty-one inches and the straight-aways are forty-six inches long. What is the total distance around the track? Round your answer to the nearest whole inch.


40.   Mr. Brown needs to buy some fencing for his garden (too many rabbits have been getting in and eating the vegetables). If his garden is twenty-three meters by thirty-four meters and is in the shape of a rectangle, what length of fence does he need to build?

Complete.
41.   How many tiles that are each one foot square are needed to cover a kitchen floor if the kitchen is seventeen feet long and nine feet wide?
42.   The local football team wants to purchase enough tarp material to cover their field during bad weather. The field, including the end zones is 120 yards long and 50 yards wide. They want to get exactly nineteen percent more than is needed to cover the field so some of the sidelines and area beyond each end zone are covered as well. How many square yards of tarp material should they buy?

 

Answer Key

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Geometry
Math
Middle School Math