Question

5) The Perimeter of a rectangle is 64 cm, If its length is 17 cm, what is its breadth?​

Answer 1

Answer :-

• The breadth of the rectangle is 15 cm.

Given :-

• The perimeter of a rectangle is 64 cm.

• It's length is 17 cm.

To find :-

• It's breadth.

Step-by-step explanation :-

• Here, the perimeter and length of a rectangle have been given to us. We have to find it's breadth. Let's find our answer using the formula required for finding the perimeter of a rectangle.

We know that :-

$\underline{\boxed{\sf Perimeter \:of \:a\: rectangle = 2\: (L + B)}}$

Here,

• Perimeter = 64 cm.
• Length = 17 cm.

• Let the breadth be b.

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Substituting the given values in this formula,

$\tt64 = 2 \: (17 + b)$

Removing the brackets by multiplying 2 with the numbers inside the brackets,

$\tt64 = 34 + 2b$

Transposing 34 from RHS to LHS, changing it's sign,

$\tt64 - 34 = 2b$

Subtracting 34 from 64,

$\tt30 = 2b$

Transposing 2 from RHS to LHS, changing it's sign,

$\tt \dfrac{30}{2} = b$

Dividing 30 by 2,

$\overline{\boxed{\tt15 \: cm = b}}$

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• So, the breadth of the rectangle is 15 cm.