Question

A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the

rectangle is 94 units, what is the length of the rectangle.

Answer 1

The length of the rectangle is 31.

Explanation:

We have that the length (L) and width (W) are:

`L = 3x + 7`

`W = 2x`

The perimeter of the rectangle is given by:

`P = 2W + 2L`

`94 = 2(2x + 3x + 7)`

`94 = 10x + 14`

`x = 8`

Now, we can calculate the length of the rectangle:

`L = 3x + 7 = 3*8 + 7 = 31`

Therefore, the length of the rectangle is 31 units.

I hope it helps you!