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Algebra_2

Chapter 27

Problem 5

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The area of a square is the square of one of its sides.
The perimeter of a square is 4 times the length of one of its sides.

Given the perimeter of a square P = m.

The area of the square A = m2.


Example:

Find the area of a square.
Suppose you are given the perimeter of a square to be 28 in.
The area of a square is the square of one of the equal sides.
Thus you first need to find the length of one side of the square.
The length of one side of the square is one fourth of the the perimeter.

or : the length of one side click refresh (F5)

Substituting P = 28 inches into the equation gives click refresh (F5) = 7 in.

The area of the square is the square of the length of one side L which is click refresh (F5)

Substituting L = 7 inches into the area equation gives click refresh (F5) = 49in2

Thus, a square of perimeter P = 28 in has and area A = 49in2