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
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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) (Show Source): You can put this solution on YOUR website!
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
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