Question

The length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the length and breadth of the rectangle.​

Answer 1

Let the breadth of the rectangle be x,

Then the length of the rectangle = 2x

Perimeter of the rectangle = 72

Therefore, according to the question

2(x + 2x) = 72

⇒ 2 × 3x = 72

⇒ 6x = 72

⇒ x = 72/6

⇒ x = 12

We know, length of the rectangle = 2x

= 2 × 12 = 24

Therefore, length of the rectangle is 24 m and breadth of the rectangle is 12 m.

Answer 2

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Let the breath of rectangle be x

And length of the rectangle be 2x

We know the perimeter is 72m

So,

2(x+ 2x) = 72

2 × 3x = 72

6x = 72

x = 72/6

x = 12

we know that the length of rectangle = 2x

= 2 × 12 = 24

Therefore,length of rectangle is 24cm

and breadth of rectangle is 12cm.