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Area of a Square
A square is a rectangle in which the length and width are equal. If the side length is denoted by , then the area of the square is:
When the area is known and the side length is needed, the formula is solved for by taking the square root of both sides:
Thus the side length formula is:
The first formula gives the area when the side length is known; the second gives the side length when the area is known. Because the area must be positive, the principal (positive) square root is used.
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Elementary Algebra @ OpenStax
Ch.9 Roots and Radicals - Elementary Algebra @ OpenStax
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Order the steps to solve for .
Match each square term or formula with its meaning.
If a square has area , its side length is .
Which formula gives the side length of a square with area ?
A square has area and side length . Which formula finds ?
If a square has side length , its area is _____
What must be true for a rectangle to be a square?
For a square, write the formulas for area and side length. Which square root is used?