A square and a rectangle have the same perimeters. The length of a side of the square is 4x – 1. The length of the rectangle is 2x + 1 and the width is x + 2. Write and solve an equation to find x.

x = 1

Step-by-step explanation:

Since a square has four sides the perimeter of the square is =

Then, the perimeter of the rectangle will be =

By collecting like terms, we'll have:

Therefore, to find the value of x, we will equate both perimeters:

Collect like terms:

Now, divide both sides by 10:

1

step-by-step explanation:

it's the only multiple of both and the least