Question

The length of the rectangle exceeds its breadth by 3cm. If the length and breadth are each
increased by 2cm, then the area of new rectangle will be 70 sq.cm more than that of the given
rectangle. Find the length and the breadth of the given rectangle.

Answer 1

STEP-BY-STEP EXPLANATION:

given length of the rectangle exceeds the breadth by 3 cm. so,

let the breadth of the rectangle be x . then,

length= x+3 cm

area of rectangle=l * b

                            =x+3 * x

                            = x^2 + 3x  cm^2

also, if the length and breadth are each increased by 2 cm, the area of new rectangle is 70 cm^2 more than original.so,

   x+5 * x+2 = x^2 + 3x + 70

   x^2 + 2x + 5x + 10 = x^2 + 3x + 70

                   7x + 10  =  3x + 70

                   7x - 3x  =  70-10

                          4x  =  60

     therefore,       x  =  15

length = x + 3 = 15+3=18 cm   and

breadth=x= 15 cm.

hence found.

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