The length of a rectangle is 1 cm more than the breadth. If the length is increased by 3 cm and
breadth by 2 cm, the area is increased by 38 cm². Find the original dimensions of the rectangle.
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length=7cm
breadth=6cm
Step-by-step explanation:
let breadth be x.
then,
l=x+1
length increased=x+1+3=x+4
breadth increased=x+2
area =l*b
area orignal=(x+1)(x)=x^2+x
area increased
=x^2+x+38=x^2+6x+8
=x^2-x^2+6x-x+8-38=0
=5x-30=0
=5x=30
=x=6
by putting values
l(original)=6+1=7
b(orignal)=x=6
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