Question

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


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Answer 1

Let the width of the rectangle be x

Therefore, the length of the rectangle is 2x.

Given, the perimeter is 54 cm.

Perimeter =2(w+l)=2(x+2x)=54

⇒2(3x)=54

⇒6x=54

⇒x=9⇒ Width

2x=18⇒ Length

Therefore, the length of the rectangle is 18 cm.

Answer 2

$\huge{\orange{\underline{\underline{\bf{SoluTion:}}}}}$

Let's

Breadth of Rectangle = x

Then, Length of Rectangle = 2x

Given, Perimeter of Rectangle = 54cm

$\boxed{\sf{Perimeter\;of\; Rectangle = 2(l+b)}}$

$→\;{\bf{2(2x+x) = 54}}$

$→\;{\bf{3x = \frac{54}{2}}}$

$→\;{\bf{3x = 27}}$

$→\;{\bf{x = \frac{27}{3}}}$

$➝\;{\sf{x = 9cm}}$

.:. Length of Rectangle ☞ 2×9

◕➜ $\Large{\fbox{\red{18cm}}}$

Hope It Helps You ✌️