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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