SOLUTION: The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (use variable "w" for width).

You can put this solution on YOUR website!
The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (use variable "w" for width)
.
Area of any rectangle = width * length
Perimeter of any rectangle = 2(width+length)
.
Let w = width
and temporarily
x = length
.
From the problem, perimeter is:
1.5wx
.
But,
Perimeter = 2(w+x)
So, then we have
1.5wx = 2(w+x)
Solving for x:
1.5wx = 2(w+x)
1.5wx = 2w+2x
1.5wx-2x = 2w
factoring the left:
x(1.5w-2) = 2w
x = 2w/(1.5w-2)
.
So, your answer would be
length is equal to:
2w/(1.5w-2)

You can put this solution on YOUR website!

The area of a rectangle is given by:



and the Perimeter is given by:



Where represents the measure of the length and represents the measure of the width.

But we are given that



So:












John

My calculator said it, I believe it, that settles it