Acarpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck is to be expanded by 6 feet, and the width by 2 feet. if the area of the new rectangular deck is 68 ft2 larger than the area of the original deck, find the dimensions of the original deck.

Let the width be W, then the length is 4W (since the width is 1/4 the length)

The area of the original deck is 

The dimensions of the new deck are :

length = 4W+6
width=W+2

so the area of the new deck is :



"the area of the new rectangular deck is 68 ft2 larger than the area of the original deck" means that we write the equation:









the length is     ft

width: 4, length: 16