The length of a rectangle is 6 m less than 3 times it's breath. Find the dimensions of the rectangle if it's perimeter is 148 m.
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Let the length and breadth of rectangle be l and b .
Given that length is 6m less than three times its breadth
⇒l=3b−6.............................(i)
Given its perimeter is 148m.
we k.n.t perimeter of a rectangle is 2(l+b)
⇒2(l+b)=148
Substitute (i) in (ii)
l+b=(3b−6)+b=74
4b=74+6=80
Substituting value of b in (i)
l=3b−6=3(20)−6=60−6=54
Thus,length and breadth of given rectangle are 54m,20m.
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