The length of a rectangle is the square root of 100 times an unknown number, x. the width is one-half an unknown number, y, less three-halves x. if the area of the rectangle is 125 cm2, find an equation that would give the width of the rectangle given the length.

For this problem,all we have to do is translate the word problem into algebraic equations. The equations are as follows:

L = √100 * x = 10x
W = 1/2*y - 3/2*x

Since A is equal to length times width
A = LW
If L is given, we can find the x. Therefore, we must set the equation where the dependent variable is y and the independent variable is x.

125 = LW
W = 125/L
1/2*y - 3/2*x = 125/10x
10x(1/2*y - 3/2*x) = 125
5xy - 15x² = 125
xy - 3x² = 25
y = (25+3x²)/x
y = 25/x + 3x