Find the side of a square, whose area is equal to the area of a rectangle with sides125m and 5m.
Question
Find the side of a square, whose area is equal to the area of a rectangle with sides125m and 5m.
Solution
Step 1: First, find the area of the rectangle. The area of a rectangle is given by the formula length x width. So, the area of the rectangle is 125m x 5m = 625 square meters.
Step 2: The area of the square is given to be equal to the area of the rectangle, which is 625 square meters.
Step 3: The area of a square is given by the formula side x side or side^2. So, if A is the area of the square and s is the side of the square, we have the equation A = s^2.
Step 4: Substitute the given area into the equation. So, 625 = s^2.
Step 5: To find the side of the square, take the square root of both sides of the equation. So, s = sqrt(625) = 25m.
So, the side of the square is 25 meters.
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