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