The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn, The width is feet.?

Width = 3ft

Length  = 11ft

Step-by-step explanation:

Given parameters:

Area of rectangular wall  = 33ft²  

Unknown:

Length and width of the wall of the barn  = ?

Solution:

 So;

         Area of a rectangle  = length x width

Let the length  = L

            width  = W

           L  = 8 + W

       33  = (8 + W)W

       33  = 8W + W²  

         W² + 8W  - 33  = 0

          W² + 11W - 3W - 33  = 0

          W(W + 11)  - 3(W + 11)  = 0

           (W - 3)(W + 11)  = 0

    W - 3  = 0 or W + 11  = 0

So;   W = 3

To find the length;

           L  = W + 8

           L  = 3 + 8  = 11

exactly you go it

step-by-step explanation: