Question

A rectangle has a length of 4 inches and a width of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x.

Answer 1

see below for a graph

x = 4

Explanation:

The perimeter is given by the formula ...

P = 2(L +W)

The area is given by the formula ...

A = LW

We want these two values to be equal. Using "y" for both perimeter and area, and substituting the given values for L and W, we have the equations ...

y = 2(4 +x)

y = 4x

The graph of these equations (below) shows the value of x is 4.