Question

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

Answer 1

Answer:

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]

Answer 2

✰ Question Given :

• ➦ The length of a rectangle in twice its breadth . If the perimeter is 72 meters , find the length and breadth of the rectangle.

✰ Required Solution :

✯ Value Given to us :

• ⇢ Perimeter of rectangle = 72 m

✯ Assumption Needed :

• ⇢ let breath of rectangle be x

• ⇢ let length of rectangle be 2x

✯ Formula used Here :

• ⇢ Perimeter = 2 ( l + B )

✯ Putting Value in Formula :

• ⇢ Perimeter = 2 ( l + B )

• ⇢ 72 m = 2 ( 2x + x )

• ⇢ 72 m = 2 × 3x

• ⇢ 72 m = 6x

• ⇢ X = 12 m

✯ Now Substituting X Value :

• For length :-

• ⇢ length = 2x

• ⇢ length = 24 m

• For Breath :-

• ⇢ Breath = x

• ⇢ Breath = 12 m

✰ Therefore :

• ➦ Length of rectangle = 24 m

• ➦ Breath of rectangle = 12 m

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