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2 years ago

The length of a rectangle is 4 cm more than the width. The are is 96 cm squared. Find the dimensions of the rectangle.

Mathematics

1 answer:

lozanna [386]2 years ago

3 0

width = w

length = w+4

Area = l*w

substitute

96 = (w+4) *w

distribute

96 = w^2 +4w

subtract 96 from both sides

0 = w^2 +4w -96

factor

0=(w+12) (w-8)

w+12=0 w-8=0

w=-12 w=8

cannot have negative width

w=8

l=12

Answer: width =8 cm

length = 12cm

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