The length of a rectangle is 3in. more than twice the width. The area is 20sq in. What are the dimensions of the rectangle?
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l = length
w = width
l = 2w + 3
Area = l * w = (2w+3) (w) = 20
2w^2 + 3w = 20
2w^2 + 3w - 20 = 0
(2w-5)(w+4) = 0
w+4=0 would mean w=-4 which make no sense so we take the other possibility
2w-5=0
2w=5
w=5/2
l=2w+3=2(5/2)+3=8
dimensions of rectangle is 5/2in by 8in.
w = width
l = 2w + 3
Area = l * w = (2w+3) (w) = 20
2w^2 + 3w = 20
2w^2 + 3w - 20 = 0
(2w-5)(w+4) = 0
w+4=0 would mean w=-4 which make no sense so we take the other possibility
2w-5=0
2w=5
w=5/2
l=2w+3=2(5/2)+3=8
dimensions of rectangle is 5/2in by 8in.
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Try using algebra. You know the width and the height and the area. The area is width times height.
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the length is 3 inches, so the width is (20/3) inches... so the dimesnsions are 3x6.6 in.