Question

4. The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
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Answer 1

Given :

• Perimeter of the rectangle = 100 cm
• Length of the rectangle = 35 cm

To Find :

• The Breadth of the rectangle = ??

Formula To Be Applied :

We will use the formula of Perimeter of rectangle

• Perimeter = 2(l+b)
• Or, Breadth = P/2 - length

Process:

• By using the formula of perimeter of rectangle, we will frame the formula of Breadth of rectangle (see the above section)
• By using this formula, applying the values of variables, we can find Breadth of rectangle.

Solution :

Given, Perimeter of rectangle = 100 cm

Length of rectangle = 35 cm

$\large\tt{ breadth = \frac{p}{2} - length}$

$\large\tt{ \implies b = \frac{100}{2} - 35}$

$\large\tt{ \implies b = \frac{ \cancel{100}}{ \cancel{002}} - 35}$

$\large\tt{ \implies b = 50 - 35}$

$\large{ \red{ \underline{ \boxed{ \tt{ \therefore \: breadth = 15 \: cm}}}}}$

Hence, the Breadth of the rectangle = 15 cm

Verification :

Now, we will verify if we have got the correct answer or not :

So, using the Perimeter formula we get :

2(l+b)

= 2(35+15)

= 2×50

= 100 cm

Hence, we get that our answer is correct

Hence, Verified!

Answer 2

Step-by-step explanation:

Let the breadth of a rectangle be x.

Perimeter is 100cm.

Length is 35cm.

2(l + b) = Perimeter

2(35 + x) = 100

70 + 2x = 100

2x = 100 - 70

2x = 30

x = 30/2

x = 15.

Therefore, breadth of a rectangular sheet is 15cm.

Let's verify our answer.

2(35 + x) = 100

70 + 30 = 100

100 = 100

Therefore, our answer is correct and verified.