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The length of a rectangle is 4 m more than the width the area of the rectangle is 45m^2 find the length and width

The length of a rectangle is 4 m more than the width the area of the rectangle is 45m^2 find the length and width
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The length of a rectangle is 4 m more than the width the area of the rectangle is 45m^2 find the length and width

User Mayur Misal
by
7.6k points

1 Answer

2 votes
l=w+4m
A=w*l
A=w(w+4)=45
w^2+4w-45=0
w^2+9w-5w-45=0
w(w+9)-5(w+9)=0
(w+9)(w-5)=0

⇒ w+9=0 or w-5=0
⇒w-5=0
w=5
l=5+4
l=9
User Per Samuelsson
by
8.0k points
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