Question

Chris built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 time the width. What was the length (x) and width (y) of the fort? *

Answer 1

The perimeter of a polygon is equal to the sum of all its sides. In a rectangle with dimensions length, x and width, y is calculated through the equation,

                   P = 2x + 2y

If width is y, then length is equal to 3y - 8. Substituting these to the equaiton,

                P = 2(3y - 8) + 2y

Simplifying,
             24 = 6y - 16 + 2y
              24 = 8y - 16

The value of y from the equation is 5. 

           x = 3y - 8 = 3(5) - 8 = 7

Answers: 
      x = 7 feet
      y = 5 feet