Question

asked May 17, 2021 140k views

2 Answers

Dewalla · Answer 1 · 2021-05-20T22:30:45+0000

Answer:

$A=80\ ft^2$

Explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

A=(1)/(2)bh

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

10^2=(16/2)^2+h^2

solve for h

100=64+h^2

h^2=100-64

h^2=36

$h=6\ ft$

Find the area of triangle

A=(1)/(2)(16)(6)

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

A=LW

we have

$L=16\ ft\\W=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

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