The length of a rectangle exceeds its breadth by 4 cm .if the length and breadth both are increased by 3cm,the area will be 81cmsquare more than that of the given rectangle find the length and breadth of the given rectangle.
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let breath be x
then, length = x+4
area=x(x+4)=x^2+4x
new length,=x+7
new breath=x+3
new area=(x+3)(x+7)=x^2+10x+21
according to the question
x^2+4x+81=x^2+10x+21
x=10
length=10+4=14
then, length = x+4
area=x(x+4)=x^2+4x
new length,=x+7
new breath=x+3
new area=(x+3)(x+7)=x^2+10x+21
according to the question
x^2+4x+81=x^2+10x+21
x=10
length=10+4=14
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