original deck : x by 4x
original area = 4x^2
new deck:
length = 4x+6
new width = x+2
new area = (x+2)(4x+6)
(x+2)(4x+6) - 4x^2 = 68
expand the left side, simplify and solve for x
comes out very nicely
A carpenter 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.
1 answer
1 answer