Answer :
The area of the rectangle is given by the equation A = 500 inches²
What is the Perimeter of a Rectangle?
The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
The perimeter of the rectangle P = 120 inches
The length of the rectangle L = 5 ( width of rectangle )
Now , Perimeter P of rectangle = 2 ( Length + Width )
Substituting the values in the equation , we get
2 ( 5W + W ) = 120
Divide by 2 on both sides of the equation , we get
6W = 60
Divide by 6 on both sides of the equation , we get
W = 10 inches
So , the width of the rectangle = 10 inches
Now , L = 5W
So , the length of the rectangle = 50 inches
And , the area of the rectangle = L x W
Substituting the values in the equation , we get
The area of the rectangle A = 50 x 10
The area of the rectangle A = 500 inches²
Hence , the area of the rectangle is 500 inches²
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