Question

The figure is made up of a rectangle, 2 right triangles and a 3rd triangle.

What is the area of the figure?

Responses

34 in2


52 in2


46 in2


136 in2

Answer 1

52in^2

Explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

1. The top triangle

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2