Each of the windows has an area of 2,160 inches with a length of 60 inches. What is the perimeter of each window ?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Area of Window = 2160 in^2
Length = 60 inches
Determine the perimeter of a window.
Let us assume that the window is rectangular in shape since if we square the length it does not equal to the area.
Formula for the Area of the rectanlge:
A = lw
Formula for the Perimeter of the rectangle:
P = 2 (l + w)
Solution:
We determine first the width the rectangle based on its area in order to find the perimeter.
A = lw
w = A/l
w = 2160/ 60
w =36
Now that we have the width, we substitute the given values to the formula for the perimeter of the rectangle.
P = 2 ( 60 + 36)
P = 2 ( 96)
P = 192 inches.
Final answer:
P= 192 inches.