Question

Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).

​

Answer 1

97.27 yd²

Explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is
`A=\pi r^(2)`. Pi is about 3.14, and radius (
`r`) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

`\pi`x
`3^(2)`≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27