Math, asked by dubeysuhani086, 4 months ago

In a rectangular field, if length is decreased by 2 m and
wordth is increased by 2 m, the area of the rectangle increases
by 10 m. If the length is increased by 2 m and breadth is
decreased by 3 m, the area of the rectangle decreases by 45
m. Find the length and breadth of the field

Answers

Answered by kasanahimanshu
2

Answer:

heres ur answer

Step-by-step explanation:

Let x = length & breadth = y 

Area = x.y=A

(i) (x+2)(y−2)=(A−26)⇒xy−2x+2y−4=xy−28⇒y−x=−12  ...(1)

(ii) (x−1)(y+2)=A+33⇒xy+2x−y−2=xy+33⇒2x−y=35 ...(2)

adding both equation

x=23,y−x+2x−y=−12+35⇒x=23

Placing in equation (1)

y−23=−12⇒y=11

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