Question

the length of a rectangular plot of land is 4 metres more than its breath. if the length is increased by 6 metres and breath is reduced by 4 metres the area of the plot remain the same find the length and breadth of the plot​

Answer 1

Answer:

24 metres

Step-by-step explanation:

let the breadth be m

L=x+4

Length increased by 6cm =(x+4)+6

=x+10

breadth reduced by 4cm =z-4

Earlier area

area =l×b

=x×(x×4)

=x^2+4x

After changes area

area =l×b

=(x+10)×(x-4)

=x^2-4x+10x-40

=x^2+6x+40

Therefore, both areas are same

x^2+4x=x^2+6x+40

40=x^2-x^2+6x-40

40=2x

x=40/2

x=20m

L=x+4

=20+4

=24m

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