Question

The length of a rectangle is 4cm more than its breadth. If the length is increased by 4cm and breadth is decreased by 2cm, the area remains the same as that of original rectangle. Find the length and the breadth of rectangle?

Answer 1

Answer

let initial breadth be x

initial length be x+4

Area 1 = x (x+4)

changed length is (x+4)+4

changed breadth is x-2

Area 2 = (x+8)(x-2)

Given area1 = area2

x^2+4x = x^2+8x-2x-16

x = 8

Length is 12 cm and breadth is 8 cm

Answer 2

Answer:

Step-by-step explanation:

length be x+4

Area 1 = x (x+4)

changed length is (x+4)+4

changed breadth is x-2

Area 2 = (x+8)(x-2)

Given area1 = area2

x^2+4x = x^2+8x-2x-16

x = 8

Length is 12 cm and breadth is 8 cm