the length of a rectangle is 5 metres less than twice its breadth if the length is decreased by 3 cm and breadth increased by 2 centimetre the perimeter of the resulting rectangle is 72 cm find the area of original rectangle. step by step explanation?
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Step-by-step explanation:
let original breadth of rectangle be x
then,original length=2x-5
(given in question)
after changing length and breadth
length=(2x-5)-3
breadth=x+2
perimeter =2×(l+b)=72 given
2×((2x-8)+(x+2))=72
2×(2x-8+x+2)=72
2×(3x-6)=72
6x-12=72
x=84/6=14
actual value of original length and breadth
l=2x-5=2×14-5
=23
b=x=14
original area of rectangle
=length ×breadth
23×14=322
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