Question

The length of a rectangle exceeds the breadth by 6cm. If the length is increased by 3cm and breadth decreased by 2cm, the area remains the same.find the length and breadth of the rectangle.

Answer 1

Answer:

Breadth=18 cm

Length=24 cm

Step-by-step explanation:

Consider

breadth(B1)= x

thus Length (L1)= x+6

If the length is increased by 3cm and breadth decreased by 2cm

new Breadth (B2)= x-2

new Length (L2)= x+6+3=x+9

Now, the both areas are same

L1B1=L2B2

(x+6)(x)=(x+9)(x-2)

$x^{2}+6x=x^{2}-2x+9x-18$

18=9x-2x-6x

18=x

Hence

Breadth (B1) = 18 cm

Length(L1)= x+6 = 18+ 6 = 24 cm

Answer 2

Step-by-step explanation:

The explanation is there in the attachment....

Hope it is helpful for you all