SOLUTION: The floor area of a garage 65ft. by 85ft. is to be increased by 1,000 sq. ft. If it is made 6ft. longer, by how much will the width have to be increased?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The floor area of a garage 65ft. by 85ft. is to be increased by 1,000 sq. ft. If it is made 6ft. longer, by how much will the width have to be increased?      Log On

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Question 324493: The floor area of a garage 65ft. by 85ft. is to be increased by 1,000 sq. ft. If it is made 6ft. longer, by how much will the width have to be increased?
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
First we need to find the area which is 5525 Sq ft. So the new area will be
6525 sq ft.
Let x be the number of feet to increase the width. Now we can write an equation to be:
91(65+x)=6525
Expand this out to:
5915+91x=6525
Subtract 5915 from sides to get:
91x=610
Now Divide both sides by 91:
x=6.7 feet (rounded off)
OK, the new measurement is:
91 ft by 71.7 ft.
Make sense?
RJ
www.math-unlock.com