Assuming that the width of the rectangle is supposed to be more than the length as described in your problem - perhaps the text should be reversed???
Let's let the length of the pool be represented by the variable x. Then we can write an expression for the width as: 5x + 7
Perimeter is defined as the sum of all the sides for a rectangle , so the following equation can be used to represent the perimeter of the patio: x + x + 5x + 7 + 5x + 7 = 182 yards
Now combine like terms and use inverse operations to solve the equation:
x + x + 5x + 7 + 5x + 7 = 182
12x + 14 = 182
12x + 14 - 14 = 182 - 14
12x = 168
12x/12 = 168/12
x = 14 yards
The length of the pool will be 14 yards
The width will be 5x + 7 OR 5*14 + 7 = 77 yards
To verify , the perimeter would be 14 + 14 + 77 + 77 = 182 yards
