Question

The length of a rectangular hall is 3 times it's breadth. If the perimeter of the hall is 64 .find it's dimension.

Answer 1

Appropriate Question :

• The length of a rectangular hall is 3 times it's breadth. If the perimeter of the hall is 64m. Find it's dimension.

Answer :

• Length of the rectangular hall is 24m
• Breadth of rectangular hall is 8m

Given :

• The length of a rectangular hall is 3 times its breadth
• Perimeter of the hall is 64m

To find :

• Dimensions

Solution :

• Let the breadth of rectangular hall be x

Given,

The length of a rectangular hall is 3 times its breadth so,

• Let the length of rectangular hall be 3x

And also Given,

• Perimeter of tha hall is 64m

We know that

• Perimeter of the hall = 2(l + b)

Where ,

• l is length of rectangular hall
• b is breadth of rectangular hall

Substituting the value :

⇢ Perimeter of the hall = 2(l + b)

⇢ 64 = 2(3x + x)

⇢ 3x + x = 64/2

⇢ 3x + x = 32

⇢ 4x = 32

⇢ x = 32/4

⇢ x = 8m

Finding the dimensions :

• Length = 3x = 3(8) = 24m
• Breadth = x = 8m

Hence,

• Length of rectangular hall is 24m
• Breadth of rectangular hall is 8m

Verification :

⇢ Perimeter of the hall = 2(l + b)

⇢ 64 = 2(24 + 8)

⇢ 64 = 2(32)

⇢ 64 = 64

Hence , Verified.

Answer 2

Given :-

➜ The length of a rectangular hall is 3 times its breadth.

➜ The perimeter of the hall is 64

To Find :-

➜ What are it's dimensions ?

Formula :-

➜ Perimeter of the rectangular hall = 2 (l+b)

Where,

• l = length
• b = breadth

Solution :-

Given that,

➞ The perimeter of the hall is 64

➞ The length of a rectangular hall is 3 times its breadth

Let,

• length = 3x
• breadth = x

According to the question by using formula we get,

➡ Perimeter = 2 × (length + breadth)

➡ 64 = 2 × (3x + x)

➡ 64 = 2 × (4x)

➡ 64/2 = 4x

➡ 32 = 4x

➡ 32/4 = x

➡ 8 = x

➡ x = 8

Now,

The dimensions are :

➞ Length = 3x = 3(8) = 24

➞ Breadth = x = 8

Hence,

∴ The dimensions of the rectangular hall is 24m length and 8m breadth

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