The perimeter of a rectangular plot of land is 32 m. If the length is increased by 2 m and the breadth decreased by 1 m, the area of the plot remains the same. Find the length and breadth of the plot
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let the length be l
let the breadth be b
perimeter=2L+2b
p=2 (l+2+b-1)
p=2 (l+b+1)
32=2L+2b+2
32-2=2 (L+b)
30=2 (L+b)
30/2=L+b
15=L+b
7.5 =L
7.5=b
7.5+2=9.5=Length
7.5-1=6.5=breadth
now to prove that the perimeter will be same:
p=2 (9.5+6.5)
p=2 (16)
p=32
therefore length is 9.5 my, breadth is 6.5 m
hope it helps..
let the breadth be b
perimeter=2L+2b
p=2 (l+2+b-1)
p=2 (l+b+1)
32=2L+2b+2
32-2=2 (L+b)
30=2 (L+b)
30/2=L+b
15=L+b
7.5 =L
7.5=b
7.5+2=9.5=Length
7.5-1=6.5=breadth
now to prove that the perimeter will be same:
p=2 (9.5+6.5)
p=2 (16)
p=32
therefore length is 9.5 my, breadth is 6.5 m
hope it helps..
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