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The area of a square platter is $64 \, \text{square inches}$ . How long is each side of the platter? $\newline$ $\_\_\_\_\_$ inches

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Area and perimeter: word problems

Full solution

Q. The area of a square platter is

64 \, \text{square inches}

. How long is each side of the platter?

\newline

\_\_\_\_\_

inches

Understand the problem: Understand the problem. $\newline$ We need to find the length of one side of a square platter. We know the area of the square is $64$ square inches. The area of a square is calculated by squaring the length of one of its sides ( $\text{Area} = \text{side}^2$ ).
Write formula for area: Write down the formula for the area of a square. $\newline$ Area = $\text{side}^2$
Substitute given area: Substitute the given area into the formula. $\newline$ $64 = \text{side}^2$
Solve for side length: Solve for the side length. $\newline$ To find the side length, we need to take the square root of the area. $\newline$ side = $\sqrt{64}$
Calculate square root: Calculate the square root of $64$ . $\newline$ $\text{side} = \sqrt{64} = 8$
Verify the result: Verify the result. $8^2 = 64$ , which matches the given area, so our calculation is correct.

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