Question

The length of a rectangle is $$6$$ m less than three times its breadth. The length and breadth of the rectangle, if its perimeter is $$148$$ m, is ___________.

A
54 m, 20 m
B
50 m, \$30 m
C
40 m, 25 m
D
30 m, 20 m

Solution

The correct option is C $$54$$ m, $$20$$ mLet the length and breadth of rectangle be l and b .Given that length is $$6$$m less than three times its breadth$$\Rightarrow l=3b-6$$.............................(i)Given its perimeter is $$148$$m.we k.n.t perimeter of a rectangle is $$2(l+b)$$$$\Rightarrow 2(l+b)=148$$$$\Rightarrow (l+b)=\dfrac{148}{2}=74$$.........(ii)Substitute (i) in (ii)$$l+b=(3b-6)+b=74$$$$4b=74+6=80$$$$b=\dfrac{80}{4}=20$$Substituting value of b in (i)$$l=3b-6=3(20)-6=60-6=54$$Thus,length and breadth of given rectangle are $$54m,20m$$.Mathematics

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