area of rectangle is reduced by 8 metre square if length is reduced by 5 and breadth is increased by 3 metre. if length is increased by 3 and breadth increased by 2 metre area is increased by 74 m square find the length and breadth
Answers
Answered by
2
Answer:
Step-by-step explanation:
The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre and breadth is increased by 3 metre. If we increase the length by 3 metre and breadth by 2 metre, the area is increased by 74 sq. metre. Find the length and breadth of the rectangle.?
***
let x=length of rectangle
let y=breadth of rectangle
original area=xy
xy-(x-5)(y+3)=8
(x+3)(y+2)-xy=74
..
xy-(xy-5y+3x-15)=8
-xy+(xy+3y+2x+6)=74
..
xy-xy+5y-3x+15=8
-xy+xy+3y+2x+6=74
..
5y-3x+15=8
3y+2x+6=74
..
10y-6x+30=16
9y+6x+18=222
add
19y+48=238
19y=190
y=10
2x=74-6-3y=38
x=19
length of rectangle=19 metres
breadth =10 m
Read more on Brainly.in - https://brainly.in/question/9976383#readmore
PLZ MARK ME AS BRAI NLIEST AND FOLLOW ME]
Similar questions