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

Solution:

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

S O L U T I O N :

$\underline{\bf{Given\::}}$

The length of a rectangle is twice it's breadth. If the perimeter is 72 m .

$\underline{\bf{Explanation\::}}$

Let the breadth of rectangle be x & the length of rectangle be 2x respectively.

As we know that formula of the perimeter of rectangle;

$\boxed{\bf{Perimeter = 2(length + breadth)}}$

A/q

$\longrightarrow\tt{Perimeter = 2(Length + Breadth)}$

$\longrightarrow\tt{72= 2(2x+ x)}$

$\longrightarrow\tt{72= 2(3x)}$

$\longrightarrow\tt{72= 6x}$

$\longrightarrow\tt{x = \cancel{72/6}}$

$\longrightarrow\bf{x = 12\:m}$

Thus,

The length of rectangle will be 2 × 12 = 24 m .

The breadth of rectangle will be 1 × 12 = 12 m .

Now,

C H E C K :

→ 72 = 2(L + B)

→ 72 = 2(24 + 12)

→ 72 = 2(36)

→ 72 = 72  [checked]