Question

What is the area of this composite figure?

16.56 in. 2
4 in. 2
7.14 in. 2
10.28 in. 2

Answer 1

7.14 in²

(C)

(3)

Answer 2

Given:

The composite figure consists of two semicircle and a square.

The length of the sides of the square is 2 inches.

The diameter of the semicircle is 2 inches.

We need to determine the area of the composite figure.

Area of the square:

The area of the square can be determined using the formula,

`A=s^2`

Substituting s = 2, we get;

`A=2^2`

`A=4 \ in^2`

Thus, the area of the square is 4 in²

Area of the semicircle:

The area of the semicircle can be determined using the formula,

`A=(\pi r^2)/(2)`

`A=(3.14 * 1^2)/(2)`

`A=(3.14 )/(2)`

`A=1.57 \ in^2`

Thus, the area of the semicircle is 1.57 in²

Area of the composite figure:

The area of the composite figure can be determined by adding the area of the square and the area of the two semicircles.

Thus, we have;

`Area=4+1.57+1.57`

`Area = 7.14 \ in^2`

Thus, the area of the composite figure is 7.14 in²

Hence, Option c is the correct answer.