Question

If the length of a rectangle is increased by 5 metres and the breadth decreased by 3 metres, the area would decrease by 5 square metres. If the length is increased by 3 metres and breadth increased by 2 metres ,the area would increase by 50 square metres. What are the length and breadth?

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Answer 1

Answer:

the answer is

length =10 m

breadth =8 m

step by step explanation

let the length is x and the breadth is y.

we know that the area of a rectangle is xy.

following

(x+5).(y-3)=(xy-5)

xy-3x+5y-15=xy-5

-3x+5y=10 ...(1)

now.

(x+3)(y+2)=(xy+50)

xy+2x+3y+6=(xy+50)

2x+3y=44 ...(2)

now (1)×2+(2)×3

-6x+10y=20

6x+9y=132

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19y=152

y=8

similarly

x=10