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Question

The sides of a rectangle whose area is 216 cm2 are in the ratio 2:3. Find its perimeter.

A
60 cm
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B
30 cm
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C
6 cm
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D
5 cm
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Solution

The correct option is A 60 cm
Let the length and breadth of the rectangle be 2x and 3x respectively.

Area of rectangle = l×b
2x×3x=216
6x2=216
x2=216÷6
x2=36
x=6 cm

So, the sides of the given rectangle are
length(l)=2x=2×6=12 cmbreadth(b)=3x=3×6=18 cm

Now, perimeter of the rectangle
= 2(l+b)=2(12+18)=2×30

Perimeter = 60 cm

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