Question

IN A RECTANGLE LENGTH IS 4CM LONGER THAN ITS BREADTH.ITS AREA IS 60CM2.WHAT IS LENGTH AND BREADTH

Answer 1

Let the breadth of the rectangle be ‘x’cm and length be‘(x+4)’cm

We know that area of traingle=60cm2

:.l×b=60

:.x(x+4)=60

:.x2+4x-60=0

By factorisation method,

:.x2+10x-6x-60=0

:.x(x+10)-6(x+10)=0

:.(x-6)(x+10)=0

X=6 Or X=-10

Negative answer is not acceptable hence discarded

Length=x=6cm

Breadth=x+4=6+4=10cm

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