the length of a rectangle is greater than the breath by 3 cm.if the length is increased by 9 cm and the breadth is reduced by 5 cm,the area remains the same.find the dimensions of rectangle.
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---- Jonah Prashanth
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Step-by-step explanation:Let breadth of rectangle 'b' therefore length of rectangle will be 'b+3'
Let Area of rectangle be 'A'
A=l.b
A=(b+3).(b)
A=b^2+3b --1
Now,
A=l.b
A=(l+9).(b-5)
A=(b+3+9).(b-5)
A=(b+12).(b-5)
A=b^2+7b-60. ---2
--1=--2
b^2+7b-60 = b^2+3b
b = 15 m
l = b+3 = 18m
Therefore dimensions are 18m×15m
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