Answer:
Length of the rectangle = 32.14 inches
Width of the rectangle = 10.71 inches
Explanation:
Given:
The rectangle is 3 times as long as it is wide
total area of the figure = 750 in.2
To Find:
dimensions of the rectangle = ?
Solution:
The area of the figure = Area of the rectangle + Area of semicircle
Rectangle is 3 times as long as it is wide
Let r be the radius of the semicircle
Then
Length = 2r
Width =

The area of the figure =

750 =

750 =

750 =

750 =



r = 16.07
Then diameter d = 2(r) = 2(16.07) = 32.14
Now
length of the rectangle = 2r = 32.14 inches
Width =
=
= 10.71 inches