the length of a rectangular plot is 6m less than thrice its breadth. Find the dimension of the plot if its perimeter is 148m
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ANSWER
Let the breadth of a rectangle = x m.
Thrice its breadth=3x m
Length of a rectangle= 3x-6 m
Perimeter of a rectangle = 2(l+b)
=2(3x−6+x)
=2(4x−6)
=8x−12
But we are given perimeter=148 m
8x−12=148
8x=148+12
8x=160
x=20 metres
Breadth=x= 20 metres
and Length=3x−6=
3×20−6=60−6= 54 metres.
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Step-by-step explanation:
let the breadth of the rectangular plot is x m
so length (3x-6)m
perimeter =148=2(3x-6+x)
2(4x-6)=148
4x-6=148/2=74
4x=74+6=80
x=80/4=20
do breadth =20 m
length =(3.20-6)m=(60-6)m=54m
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