Question

if the length of a rectangle is increased by 2 m and breadth decreased by 1 m, the area would decrease by 4 square meters. if the length is decreased by 3 m and breadth increased by 3 m, the area would decrease by 9 square meters. What is the length and breadth?​

Answer 1

Answer:

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

Step-by-step explanation:

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