A rectangle has the dimension L $\times$ W . If a square has the same area to the rectangle, what is the side length of the square?
A) arithmetic mean of L and W
B) geometric mean of L and W
C) sum of L and W
D) Product of L and W

Question

A rectangle has the dimension L $\times$ W . If a square has the same area to the rectangle, what is the side length of the square?
A) arithmetic mean of L and W 
B) geometric mean of L and W
C) sum of L and W
D) Product of L and W

Quizplus · Accepted Answer

A square has all sides equal, so its area is given by side length squared. Let the side length of the square be s. Then its area is s^2. Since the area of the square is the same as the area of the rectangle, we have L x W = s^2. Taking the square root of both sides, we get s = sqrt(L x W). This is the geometric mean of L and W. Therefore, the answer is B.

A Rectangle Has the Dimension L ×\times× W If a Square Has the Same Area to the a Square

A Rectangle Has the Dimension L $\times$ W If a Square Has the Same Area to the a Square