Geometry

1.Find the area of the following figure. (Round the answer to one decimal place.)
A =   miles2

2. Find the area of the following figure. (Round the answer to one decimal place.)
A =   in2

3. Find the area of the following figure. (Assume a = 11 m, b = 23 m, c = 13 m.)
A =   m2

4. Find the following.

(a) The area.
A =   yd2

(b) The perimeter.
P =   yd
5. Consider the Norman window shown below. (Assume a = 5 ft, b = 7 ft.)

(a) Find the area. (Round the answer to one decimal place.)
A =   ft2

(b) Find the perimeter. (Round the answer to one decimal place.)
P =   ft
6. Find the volume of the figure. Assume a = 0.4 m, b = 0.4 m, c = 1.6 m.
m3

7. Find the surface area of the figure. Assume a = 0.2 m, b = 0.2 m, c = 1.2 m.
m2

8.Find the volume and the surface area of the figure. Assume a = b = 30 in. (Round the answers to two decimal places.)

Volume      in3Surface area      in29. Find the volume of the figure. Assume a = h = 4 ft. (Round the answer to two decimal places.)

Volume      ft3
10. Find the volume of the figure. Assume a = b = 18 ft, c = 9 ft.

Volume      ft3
11. Use trigonometric ratios to find the unknown sides and angles in the following right triangle. Do not use a calculator.
=
=
? =

12. Use the given information to draw a right triangle. Use trigonometric ratios and a calculator to find the unknown sides and angles. Round off sides and angles to the same number of decimal places as the given sides and angles.
a = 12.6 and A = 37

B =
b =
c =

13. Use the given information to draw a right triangle. Use trigonometric ratios and a calculator to find the unknown sides and angles. Round off sides and angles to the same number of decimal places as the given sides and angles.
a = 15.0 and c = 21.0
b =
A =
B =

14. The given triangles are similar. Find the lengths of the missing sides.

x =
y =
15. A 6 foot tall man casts a shadow of 4.0 feet at the same instant that a tree casts a shadow of 24 feet. How tall is the tree?
feet

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