Algebra 1 word problem

Question

 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 x+2. Write and solve an equation to find x.

Answer 1

you know the perimeter of a square or rectangle is the sum of all the sides.

The square has 4 equal sides.

The rectangle has two pairs of equal sides, the length and the width. The length doesn't equal the width because if it did you would have a square.

 

So the perimeter of the square if one side is 4x - 1 is 4(4x - 1)

And the perimeter of the rectangle is 2(2x + 1) + 2(x + 2)

 

The question says the perimeters of the square and rectangle are equal.

 

From this information above, can you write the equation and then solve for x?