Arectangle is constructed on a semicircle so that the length equals the diameter. the rectangle is 3 times as long as it is wide. the total area of the figure is 750 in.2. find the approximate dimensions of the rectangle.

Length of the rectangle = 32.14 inches

Width of the rectangle = 10.71 inches

Step-by-step 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

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step-by-step explanation: