The length of a rectangle is 4cm more then the breath. if the length is increased by 4cm and breath is decrease by 2cm, the area remains the same as that of original rectangle. Find the length and breath of the rectangle.
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The length of a rectangle is 4 cm more than its breadth. If the length is increased by 4 cm and breadth is decreased by 2 cm, the area remains the same as that of the original rectangle. What is the length and breadth of the rectangle?
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Let the length be l and breadth be b
Original area of the rectangle=l*b
Given l=b+4
When the length is increased by 4cm,new length=l+4
When the breadth is decreased by 2 cm ,new breadth=b-2
(l+4)(b-2)=lb [given the area remains same]
lb-2l+4b-8=lb
-2l+4b=8 [lb get cancelled on both sides]
-l+2b=4 [dividing by 2}
-b-4+2b=4 [l=b+4 therefore -l=-(b+4)=-b-4]
b=8 cm
l=4+8=12 cm
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