if a perimeter of a square is 140 inches what is its area
Mathematics · High School · Thu Feb 04 2021
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Given:
Perimeter of square = 140 inches
Determine the area of the square.
Formula for the area of the square:
A = l^2
Formula for the perimeter of the square:
P = 4l
Solution:
In order to solve for the area we must first solve for l or the length of the sides. To do so we substitute the given value of P to the formula of P in terms of l.
P = 4l
140 = 4l
Divide both sides by 4 in order to cancel out 4l, leaving behind l.
4l/4 = 140/4
l = 35 inches
Substitute the value of l to the formula for the area of the square.
A = l^2
A = (35)^2
A = 1,225 square inches
Final answer:
A = 1,225 square inches