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The area of a square market is $25\,\text{square meters}$ . How long is each side of the market? $\newline$ $\_\_\_\_\_$ meters

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Area and perimeter: word problems

Full solution

Q. The area of a square market is

25\,\text{square meters}

. How long is each side of the market?

\newline

\_\_\_\_\_

meters

Define side length: Let $s$ be the side length of the square. $\newline$ Which equation represents the area of a square. $\newline$ The area is the product of the lengths of two sides (since all sides are equal in a square). $\newline$ $A = s^2$
Calculate area equation: Area of square market: $25$ square meters $\newline$ Which equation represents the area of the square market. $\newline$ Substitute $25$ for $A$ in $A = s^2$ . $\newline$ $25 = s^2$
Substitute area value: $25 = s^2$ $\newline$ What is the length of each side of the market? $\newline$ $25 = s^2$ $\newline$ To find the side length $s$ , take the square root of both sides of the equation. $\newline$ $s = \sqrt{25}$ $\newline$ $s = 5$ $\newline$ Side length of the square market: $5$ meters

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