Question

the area of a rectangle increases by 200 square kilometres if the length is increased by 8 metre and the breadth by 3 the area increases by 255 square metre if the length is increased by 3 metre and breadth by 8 find the length and breadth of the rectangle​

Answer 1

let the length of rectangle is x

let the breadth of rectangle is y

let the area of rectangle is xy

ATQ

(x+8)(y+3)=xy+200

(x+3)(y+8)=xy+255

xy+ 3x +8y +24 =xy+200

xy+ 8x +3y +24 =xy+255

3x +8y =176......(1)

8x +3y =231......(2)

by elimination method

eq(1) multiply by 8 and eq (2)multiply by 3

24x+64y=1408.... (3)

24x+9y=693......(4)

y = 13

x = 24

solved