So let's use x for the width of the rectangle and y for its length. We know that the length is 1ft grater than the width. This means that the length is equal to the width plus 1 ft:
The perimeter is composed of two lengths and 2 widths which means that the sum of these four sides must be equal to 82:
We can substitute y with the expression we found before:
Know that we have the equation we can find x and y. We can start by substracting 2 from both sides:
Then we divide both sides by 4:
So the width is 20 ft long. Then the length y is given by:
So the length is 21 ft. Then the answers to the boxes in order are:
82=2x+2(x+1)
x=20
y=21