Question 250916: A rectangular blanket is 20 inches longer than it is wide. If the area of the blanket is 1,125 square inches, find the length and the width.
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! A rectangular blanket is 20 inches longer than it is wide. If the area of the blanket is 1,125 square inches, find the length and the width.
A=(length)(width)
A=1125
Length=w+20
Width=w
.
1125=(w+20)(w) [plug-in the values]
1125=w^2+20w
0=w^2+20w-1125
0=(w-25)(w+45)[factor and solve for the w-term]
w-25=0
w=25 inches [this is the solution for the width]
and
w+45=0
w=-45 [eliminate this solution since a measurement cannot be negative]
.
Since the length=w+20, than, 25+20=45 inches (length)
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