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.
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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