Question

What is the area of this composite figure

189.25 in2

228.5 in2

150 in2

78.5 in2

Answer 1

189.25 in²

Explanation:

First, let us find the area of the rectangle.

Area = Length × Width

= 15 in × 10 in

= 150 in²

Then let us find the area of the semicircle.

Area =
`(1)/(2)` × π r²

=
`(1)/(2)` × 3.14 × 5 × 5

= 0.5 × 3.14 × 25

= 1.57 × 25

= 39.25 in²

Now let us find the total area of the composite figure.

Total area = Area of the rectangle + Area of the semi-circle.

= 150 in² + 39.25 in²

= 189.25 in²