Question

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

Answer 1

Answer:

The length of the rectangle is 31.

Step-by-step 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!