a deck that was originally 10-feet by 8-feet but was increased to 224 square feet by adding the same amount x to the original deck’s length and width.

Question

It is expected to have an equation

Answer 1

Let x = number of feet added to the length and width

 

Then, (x+10)(x+8) = 224

 

         x²+18x+80 = 224

 

         x²+18x-144 = 0

 

         (x+24)(x-6) = 0

 

        x = -24 or x = 6

 

Since x can't be negative, x = 6 ft