Find the dimensions of a square room if its perimeter is (7x-22) feet and one side measures (x-1) feet

Question

Find the dimensions of a square room if its perimeter is (7x-22) feet and one side measures (x-1) feet

Answer 1

Translate this English statement into an equation.

 

If the side of the square is x - 1, then the perimeter is 4(x - 1).

 

But the problem also says the perimeter is 7x - 22.

 

Things equal to the same thing are equal to each other; in this problem you have 2 expressions for perimeter which are therefore equal.

 

4(x - 1) = 7x - 22

4x - 4 = 7x - 22

3x = 18

x = 6