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# Geometry

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1. Find the perimeter of a rectangle that is 12 ft. by 4 1/2 ft.
____a. 16 1/2 ft.
_x__b. 33 ft.
____c. 48 1/2 ft.
____d. 54 ft.

2. Find the area of a rectangle that is 2.5 ft. by 4.6 ft.
____a. 38.28 ft ^2
____b. 14. 2 ft ^ 2
__x_c. 11.5 ft ^2
____d. 7.1 ft ^2

3. Find the area of a square with sides of lenght 7 mm.
x___a. 49 mm^2
____b. 28 mm^2
____c. 21 mm^2
____d. 14 mm^2

4. Find the area of this parallelogram:
____a. 30 ft
____b. 42.5 ft
____c. 60 ft
__x_d. 108 ft

5. Find the area of the given trapezoid:
____a. 23 in
_x__b. 30 in
____c. 60 in
____d. 297 in

6. A lot is 40 meters by 36 meters. A house 27 meters by 9 meters is build on the lot. How much area is left over for a lawn?
____a. 112 m^2
____b. 243 m^2
_x__c. 1197 m^2
____d. 1440 m^2

7. Find the lenght of a diameter of a diameter of a circle whose radius is 25 m.
____a. 157 m
____b. 50 m
_x__c. 12.5 m
____d. 5 m

8. find the circumference of a circle whose diameter is 10 ft. Use 3. 14 for ^.
____a. 314 ft.
____b. 78.5 ft
_x__c. 31.4 ft.
____d. 15.6 ft.

9. Find the area of a cirlce whose radius is 14 in. Use 22/7 for ^.
_x__a. 44 in^2
____b. 616 in^2
____c. 888 in^2
____d. 2464 in^2

10. Find the area inside the square, but outside the cirlce, given that the radius of the circle is 2 ft. Use 3.14 for ^
_x__a. 23.44 ft^2
____b. 29.72 ft^2
____c. 32 ft^2
____d. 32.86 ft^2

11. Find the volume.
____a. 26.1 ft^3
____b. 128 ft^3
____c. 153.6 ft^3
__x_d. 268.8 ft^3

12. Find the volume. Use 3.14 for ^.
____a. 254.34 m^3
____b. 399.12 m^3
____c. 2289.06 m^3
_x__d. 3052.08 m^3

13. Find the volume. Use 3.14 for ^.
____a. 9 ft^3
____b. 18 ft^3
____c. 28.26 ft^3
_x__d. 56.52 ft^3

14. Find the volume. Use 3.14 for ^.
____a. 127.17 in^3
_x__b. 42.39 in^3
____c. 14.13 in^3
____d. 13.50 in^3

15. A water storage tank is shaped like a circular cylinder with half of a spherre at each end. Find the volume of the tank if the cylindrical section is 100 cm long with a 40 cm diameter. Use 3.14 for ^. Round the final.
____a. 33,493.33 cm^3
____b. 125,600.33 cm^3
_x__c. 159,093.33 cm^3
____d. 192,587.33 cm^3

16. Classify this angle.
____a. right
____b. Acute
____c. Straight
____d. Obtuse

17. Find the missing angle measure.
____a. 45
____b. 65 x + 100 + 25 = 180
____c. 70 x + 135 = 180
____d. 135 x = 180 - 135
x = 45

18. Simplify: square root 144
____a. 72
____b. 36
_x__c. 12
____d. 6

19. Given a right triangle with a = 3 and c = 11, find b to three decimal.
____a. 1.585
____b. 2.828
____c. 10.583
____d. 11.402
(I can't seem to work this problem, can you so steps for this formula)

20. A 15-ft. ladder leans agains a building. The bottom of the ladder is 7 ft. from the building. How high is the top of the ladder? Round to 2 decimal places.
____a. 4.69 ft.
____b. 8.00 ft.
____c. 10.55 ft.
_x__d. 13.27 ft.

https://brainmass.com/math/geometry-and-topology/geometry-45512

#### Solution Preview

7. Radius is half the diameter. Therefore if the radius is 25m, then the diameter is 2(25) = 50m

9, Area of a circle = Pi*r^2 = ...

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