Arectangular rug is 4 feet by 9 feet. what is the side length of a square with the same area.
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Finding area of any rectangular object is length × width. So, 4 × 9 = 36 is the area of the rectangular rug.

The area of a square is one side of the square times itself. So, side × side = area of square. Let's call the sides s. I'm going to substitute the formula for area of a square with s.

s × s = area of a square.
We know that the area of the rectangle is the same as the area of the square. So, s × s = 36.

When you have the same side multiplied by itself, that's equivalent to that side to the second power. So, s × s = s^2 = 36. To get one side, we must take the square root of both sides: sqrt (s^2) = sqrt (36).

s = 6. One side of the square has a length of 6 feet. Good luck!