Question

the area of a rectangle reduced by 20 metre square if the length is increased 1 metre and the breadth is reduced by 2 metre the area princes by 12 metre square if the length is reduced by 3 metre and breadth is increased by 4 find the dimension of the rectangle​

Answer 1

Answer:

let length be l and breadth be b

original area of rectangle = l×b

new dimensions = l-1 ,b-2

New area =( l-1)× (b-2) = lb - 20

lb -2l +b -2 = lb -20

2l-b= 18 _1 equation

Next dimensions

l-3 , b+4

New Area = l-3 × b+4 =lb + 20

lb + 4l -3b - 12 = lb+12

4l +3b = -24 _2equation

by solving both equations,

we get

l = 15 , b =12 m. : answer