Answer :
The perimeter of the rectangle 48.48 inches and the expression of the new perimeter of the rectangle is 48.48 - (1.57/a) inches
How to determine the perimeter of the rectangle
In this question, we have
Area = 144 square inches
Length = 4 * Width
The area of a rectangle is represented as
A = lw
So, we have
A = (w + 4) * w
This gives
(w + 4) * w = 144
Expand
w² + 4w = 144
So, we have
w² + 4w - 144 = 0
Using a graphing calculator, we have
w = 10.12
Recall that
l = w + 4
So, we have
l = 10.12 + 4
Evaluate
l = 14.12
The perimeter is then calculated as
P = 2 * (l + w)
So, we have
P = 2 * (10.12 + 14.12)
Evaluate
P = 48.48
So, the perimeter is 48.48 inches
The new perimeter
Here, we have
Value subtracted = (4/a) cm
Converted to inches
Value subtracted = (1.57/a) inches
So, we have
New perimeter = 48.48 - (1.57/a) inches
Read more about rectangles at
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Complete question
The length of a rectangle is four times its width. If the area of the rectangle is 144 square inches find its perimeter.
if the perimeter of the given rectangle is subtracted by (4/a)cm, what will be its new perimeter?;