SOLUTION: The area of the rubber counting for a flat roof was 96ft. the rectangular frame the carpenter built for the flat roof has dimensions such s the length is 4 feet longer than width w
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Question 997861: The area of the rubber counting for a flat roof was 96ft. the rectangular frame the carpenter built for the flat roof has dimensions such s the length is 4 feet longer than width what are the dimensions of the frame Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! Area of the rectangle:
L x W = 96 And the problem says that:
W= L-4 Let's use this value for W in the formula above:
(L-4)*L= 96 Multiply on left:
L^2-4L= 96 Subtract 96 on both sides
L^2-4L-96= 0 Factor the left (FOIL)
(L+8)(L-12)= 0 Break this into 2 equations:
L+8= 0 or L-12= 0
L= -8 or L= 12 We know we are looking for a positive number, so discard the -8 and let's try the 12:
12*(12-4)=
12*8= 96 We've got the correct answer
