Question

The length of rectangular room is thrice its breadth.The perimeter of the rectangular room is 64.find it's length and breadth
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Answer 1

Given :

• Length of a rectangular room is thrice its breadth.
• The perimeter of the rectangular room = 64 m

To find :

• Length &
• Breadth

According to the question,

Let,

• The length be 3x
• The breadth be x

We know,

➞ Perimeter of rectangle = 2(l + b)

➞ 64 = 2(3x + x)

➞ 64 = 2(4x)

➞ 64 = 8x

➞ 64 ÷ 8 = x

➞ 8 = x

★ Length :

➞ 3x

➞ 3(8 m)

➞ 24 m

★ Breadth :

➞ x

➞ 8 m

• So,the length is 24 m and breadth is 8 m.

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Answer 2

Answer:

Given :-

• Length is thrice of Breadth
• Perimeter of room = 64 cm

To Find :-

Length and Breadth

Solution :-

Let the breadth be x and length be 3x

As we know that

$\bf \: Perimeter =2(l + b)$

$\tt64 = 2(3x + x)$

$\tt \: 6 4 = (2 \times 3x) + (2 \times x)$

$\tt \: 64 = 6x + 2x$

$\tt \: 64 = 8x$

$\tt \: x \: = \dfrac{64}{8}$

$\tt \: x = 8 \: cm$

Length :-

$\sf \: 3x = 3(8) = 24$

Breadth

$\tt \: x = 1(8) = 8 \: cm$