SOLUTION: A rectangle and a square have the same area. If the length of the side of the square is 10 units and the longest side of the rectangle is 4 times the measure of the shortest side.

Question 1150860: A rectangle and a square have the same area. If the length of the side of the square is 10 units and the longest side of the rectangle is 4 times the measure of the shortest side. Find the length (longest side) of the rectangle.

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Area of rectangle = length(l) * width(w)
:
Area of square = side(s)^2
:
4w * w = 10^2 = 100
:
4w^2 = 100
:
w^2 = 25
:
w = 5 and w = -5
:
we want the measure of w which is a positive number, therefore we reject w = -5
:
l = 4 * 5 = 20
:
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length of the rectangle = 20 units
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