Name _____________________________
Date ___________________

Mixed Review
(Answer ID # 0987579)
Find the area of each parallelogram.
1.  
FY
=
46
2

7
  cm
n =  
31
3

7
  cm
PF
=
33
1

7
  cm
2.  
n =  42  in
PR
=32  in
RM
=
56
2

3
  in

Find the value of n.
3.   152  =  n
4.  
  
9
  =  n
5.   n2  =  400
6.  
  
n
  =  6
7.   142  =  n
8.   n2  =  144
9.  
  
64
  =  n
10.  
  
n
  =  9
11.   182  =  n
12.  
  
289
  =  n
13.   n2  =  169
14.  
  
n
  =  21

Complete.
15.   Find the area of the trapezoid whose vertices are
(3, 1), (1, 5), (8, 1), and (8, 5)
16.   Find the area of the trapezoid whose vertices are
(2, 0), (5, 0), (-6, 3), and (5, 3)

 

To the nearest tenth, find the area of each circle. Use 3.14 for .
17.  
VZ
  =  28 mm
18.  
NB
  =  38 ft

Find the area and perimeter of each polygon.
19.  
EJ
=63 km

EB
=90 km

BL
=63 km
     
JQ
=46 km

QS
=27 km

LP
=23 km
     
XY
=27 km

SY
=84 km

MP
=53 km
     
MV
=36 km

VD
=53 km

XD
=19 km

Complete.
20.   The area of a rectangle is 456 cm2. The height is ten less than four times the base. What is the perimeter?
21.   The perimeter of a rectangle is 86 mm. The height is nine less than three times the base. What is the height?

Find the missing measurement of each trapezoid.
22.  
height  =  ________
b1  =  9 3/5 m
b2  =  2 2/3 m
area  =  49 1/15 m2
23.  
height  =  7 mm
b1  =  ________
b2  =  2 mm
area  =  19 1/4 mm2
24.  
height  =  8 3/4 cm
b1  =  2 cm
b2  =  9 1/5 cm
area  =  ________

 

Find the area of each parallelogram.
25.  
FA
=14 in

n = 11 in
UF
=17 in
26.  
XF
=8 mm

FB
=9 mm

n = 8 mm

Write each perfect square, using the power 2.
27.   9
28.   25
29.   144
30.   196
31.   576
32.   324
33.   81
34.   484
35.   100
36.   256
37.   529
38.   289

Find the missing length for each right triangle. Simplify your answer.
39.  
a  =  24
b  =  2
c  =  ________
40.  
a  =  3
b  =  ________
c  =  
  
265
41.  
a  =  ________
b  =  56
c  =  65

Find the area of each triangle.  Round your answer to the nearest tenth.
42.  
JE
=2.8 cm

n = 1.5 cm
SE
=1.9 cm

SJ
=1.2 cm
     
43.  
n = 7.5 in
YF
=3 in

YV
=11.9 in

FV
=9.8 in
     

 

Find the area of the partial circle. Use 
22

7
 for .
44.  
diameter  =  45 ft
Find the area of  
2

5
  of the circle
45.  
radius  =  47 mm
Find the area of  
3

7
  of the circle

Find the area of each circle. Use 
22

7
 for .
46.  
LT
  =  
5
1

4
 ft
47.  
JZ
  =  
6
1

2
 cm

Complete.
48.   If the height of a rectangle is 9 3/4 m and the perimeter is 22 1/6 m, what is the length of the base of the rectangle?
49.   If the height of a rectangle is 7 2/5 mm and the area is 39 24/25 mm2, what is the length of the base of the rectangle?

To the nearest tenth, find the circumference. Use 3.14 for .
50.  
YH
  =  79 mm
51.  
FS
  =  54 in


 

Answer Key 0987579
Find the area of each parallelogram.
1. 
FY
=
46
2

7
  cm
n =  
31
3

7
  cm
PF
=
33
1

7
  cm
Area =  
1041
31

49
  cm2
2. 
n =  42  in
PR
=32  in
RM
=
56
2

3
  in
Area =  
1344  in2

Find the value of n.
3. 152  =  n
n  =  225
4. 
  
9
  =  n
n  =  3
5. n2  =  400
n  =  20
6. 
  
n
  =  6
n  =  36
7. 142  =  n
n  =  196
8. n2  =  144
n  =  12
9. 
  
64
  =  n
n  =  8
10. 
  
n
  =  9
n  =  81
11. 182  =  n
n  =  324
12. 
  
289
  =  n
n  =  17
13. n2  =  169
n  =  13
14. 
  
n
  =  21
n  =  441

Complete.
15. Find the area of the trapezoid whose vertices are
(3, 1), (1, 5), (8, 1), and (8, 5)
24 square units
16. Find the area of the trapezoid whose vertices are
(2, 0), (5, 0), (-6, 3), and (5, 3)
21 square units

 

Answer Key 0987579
To the nearest tenth, find the area of each circle. Use 3.14 for .
17. 
VZ
  =  28 mm
A  =   615.4 mm2
18. 
NB
  =  38 ft
A  =   1,133.5 ft2

Find the area and perimeter of each polygon.
19. 
EJ
=63 km

EB
=90 km

BL
=63 km
     
JQ
=46 km

QS
=27 km

LP
=23 km
     
XY
=27 km

SY
=84 km

MP
=53 km
     
MV
=36 km

VD
=53 km

XD
=19 km
Perimeter = 584 km; Area = 9846 km2

Complete.
20. The area of a rectangle is 456 cm2. The height is ten less than four times the base. What is the perimeter?

100 cm
21. The perimeter of a rectangle is 86 mm. The height is nine less than three times the base. What is the height?

30 mm

Find the missing measurement of each trapezoid.
22. 
height  =  ________
b1  =  9 3/5 m
b2  =  2 2/3 m
area  =  49 1/15 m2

8 m
23. 
height  =  7 mm
b1  =  ________
b2  =  2 mm
area  =  19 1/4 mm2

3 1/2 mm
24. 
height  =  8 3/4 cm
b1  =  2 cm
b2  =  9 1/5 cm
area  =  ________

49 cm2

 

Answer Key 0987579
Find the area of each parallelogram.
25. 
FA
=14 in

n = 11 in
UF
=17 in
Area =  187 in2
26. 
XF
=8 mm

FB
=9 mm

n = 8 mm
Area =  64 mm2

Write each perfect square, using the power 2.
27. 
932

28. 
2552

29. 
144122

30. 
196142

31. 
576242

32. 
324182

33. 
8192

34. 
484222

35. 
100102

36. 
256162

37. 
529232

38. 
289172


Find the missing length for each right triangle. Simplify your answer.
39. 
a  =  24
b  =  2
c  =  ________

 2 
145
40. 
a  =  3
b  =  ________
c  =  
  
265

16
41. 
a  =  ________
b  =  56
c  =  65

33

Find the area of each triangle.  Round your answer to the nearest tenth.
42. 
JE
=2.8 cm

n = 1.5 cm
SE
=1.9 cm

SJ
=1.2 cm
     
Area =  0.9 cm2
43. 
n = 7.5 in
YF
=3 in

YV
=11.9 in

FV
=9.8 in
     
Area =  11.3 in2

 

Answer Key 0987579
Find the area of the partial circle. Use 
22

7
 for .

44. 
diameter  =  45 ft
Find the area of  
2

5
  of the circle
A  =   
636
3
7
 ft2
45. 
radius  =  47 mm
Find the area of  
3

7
  of the circle
A  =   
2975
19
49
 mm2

Find the area of each circle. Use 
22

7
 for .

46. 
LT
  =  
5
1

4
 ft
A  =   
86
5
8
 ft2
47. 
JZ
  =  
6
1

2
 cm
A  =   
132
11
14
 cm2

Complete.
48. If the height of a rectangle is 9 3/4 m and the perimeter is 22 1/6 m, what is the length of the base of the rectangle?

1 1/3 m
49. If the height of a rectangle is 7 2/5 mm and the area is 39 24/25 mm2, what is the length of the base of the rectangle?

5 2/5 mm

To the nearest tenth, find the circumference. Use 3.14 for .
50. 
YH
  =  79 mm
C  =   496.1 mm
51. 
FS
  =  54 in
C  =   339.1 in