Mathematics

The length of a rectangle is twice its width. If its perimeter is 54 cm, find its length.

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Let the breadth of the rectangle be b cm.

The length of a rectangle is twice its width.

l = 2b

Perimeter of the rectangle = 54cm

Perimeter = 2(l + b)

⇒ 2(2b + b) = 54 cm

⇒ 2(3b) = 54 cm

⇒ 6b = 54 cm

⇒ b = $\dfrac{54}{6}$ cm

⇒ b = 9 cm

l = 2b

= 2 x 9

= 18 cm

Hence, length of the rectangle is 18cm.

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