Question

PLEASE HELP 50 POINTS!!!!

What is the area of this figure?
Drag and drop the appropriate number into the box.

A.806.5
B.1159.5
C.2268.5
D.4174.5

Answer 1

Answer: It is A

Explanation:

Answer 2

A. 806.5 in²

Explanation:

The figure given is a combination of a rectangle, a trapezoid and a triangle.

The formulas for the areas of each figure:

Rectangle: length x width

Trapezoid:
`h((b_(1)+b_(2))/(2))`, where
`b_(1)` and
`b_(2)` are the lengths of each base and h is the height of the figure

Triangle: 1/2 bh, b = base and h = height

For each of the figures given:

rectangle: 16 x 9 = 144 in²

trapezoid:
`15((31+16)/(2))` = 352.5 in²

triangle: 1/2(31*20) = 310 in²

310 + 144 + 352.5 = 806.5 in²