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A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. The length of the dec...Asked by britney
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.
Answers
Answered by
Reiny
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
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