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coldgirl [10]
3 years ago
7

What is the area of the figure? 40 ft2 84 ft2 96 ft2 can't be determined

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

A=80\ ft^2

Step-by-step 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=\frac{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

<em>Find the area of triangle</em>

A=\frac{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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