SOLUTION: The area of rectangle is thrice that of square Length of the rectangle is 40 cm & breath of the rectangle is 3/2 times that of the side of the square ? Find what is the side of

Question 895440: The area of rectangle is thrice that of square
Length of the rectangle is 40 cm & breath of the rectangle is 3/2 times that of the side of the square ?
Find what is the side of square in cm ?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Square of side s, and rectangle of sides x and y.

;
, assigning x as length of the rectangle;
.

Simplify using substitution for x=40.
and .

More than one set of steps, but solving for s in the linear equation seems like a good way.

And substitute into the s^2 equation:

so the solution for y is .

Going back a few steps, notice s=(2/3)y

------side length of the square.

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