Question

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​

Answer 1

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

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