# algebra 117

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need help with this one
the length of a rectangular banner is 4 feet longer than its width if the area is 77 squar feet find the dimensions

• algebra 117 -

Let
w=width
length=w+4
Area,
77=(w+4)w
Solve for w:
w²+4w-77=0
(w+11)(w-7)=0
So
w=7 or w=-11 (reject)
=>
width = 7'
check:
7*(7+4)=77, good.

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