Question

The length of the rectangular field is 8 meters less then the twice the breadth.if the perimeter of the rectangular field is 56 meters find the length and breadth

Answer 1

let length= x
therefore breadth =2x-8
now, perimeter=2(l+b)
2(2x-8+x)= 56
2x-8-x=56/2
3x-8=28
3x=28+8

Answer 2

let the breadth of field be x m
and its length be 2x - 8 m
perimeter of field = 56 m
we know that
perimeter of a rectangle = 2(l + b)
56 = 2(x + 2x - 8)
56= 2(3x - 8)
56 = 6x - 16
6x = 56 + 16
6x = 72
x= 72/6
x = 12
so, breadth of field = 12m
and length of field = 2(12) - 8 = 24 - 8 = 16m
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