105k views
3 votes
PLEASE HELP!! Find the area of the figure to the nearest tenth. Show your work

PLEASE HELP!! Find the area of the figure to the nearest tenth. Show your work-example-1

2 Answers

4 votes
I'm pretty sure the area of the figure is 88 ft.

To find DE, you do 8^2 + DE^2 = 10^2

so, 64 + DE^2 = 100
-64 -64

DE^2 = 36

So, DE is 6. Then find the area of a trapezoid like normal, so ((a + b)/2)h

a is 8, b is 14, and h is 8, so 8 + 14 = 22 and divide that by 2 and multiply it by 8 and you have 88.
User Tommy
by
7.9k points
5 votes
By the Pythagorean Theorem:

DE=√(100-64)

DE=√36

DE=6 ft

So our area is just a 4by4 square and a triangle with a height of 8 and a base of 6 so

A=(4*4)+(6*8)/2

A=16+24

A=40 ft^2
User Baloo
by
8.3k points

No related questions found