SOLUTION: The length of a rectangle is 10cm and breadth is 8cm. When the length and breadth are increased by the same amount, the Area becomes 99cm squared. Find the increase in the length a

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 10cm and breadth is 8cm. When the length and breadth are increased by the same amount, the Area becomes 99cm squared. Find the increase in the length a      Log On


   

Question 837433: The length of a rectangle is 10cm and breadth is 8cm. When the length and breadth are increased by the same amount, the Area becomes 99cm squared. Find the increase in the length and breadth.
Answer by lwsshak3(11628) About Me  (Show Source):
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The length of a rectangle is 10cm and breadth is 8cm. When the length and breadth are increased by the same amount, the Area becomes 99cm squared. Find the increase in the length and breadth.
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let x=increase in the length and breadth.
10+x=new length
8+x=new width
Area=length*width
..
(10+x)(8+x)=99
80+18x+x^2=99
x^2+18x-19=0
(x+19)(x-1)=0
x=-19 (reject, x>0)
or
x=1
increase in the length and breadth=1cm