A monument outside city hall has dimensions as shown below in the figure. If one gallon of paint can cover 213 ft^2, how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.

sides

14 X 22 = 308 square foot there are four of these

308 X 4 = 1232 square foot.

triangles

A= 0.5 X b X h

0.5 X 14 X 10 = 70 square foot again there are four of these 70 X 4 = 280 square foot

1232 + 280 = 1512 square foot

1512/213 = 7.09859154

8 gallons of paint will need to be purchased.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.