12 June, 03:42
Write the area A of a square as a function of its perimeter P ...?
12 June, 04:43
The answer is A = P²/16
The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s
The area A of a square with side s is: A = s * s = s²
Step 1: Solve s from the formula for the perimeter.
Step 2: substitute s from the formula for the perimeter into the formula for the area.
P = 4s
s = P/4
A = s²
s = P/4
A = (P/4) ²
A = P²/4²
A = P²/16
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