Question

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.

Answer 1

Given

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

Find out

• Breadth of rectangle
• Area of rectangle

Solution

As we know that

* Perimeter of rectangle = 2(l + b) *

★ Let the breadth be " b "

➞ 100 = 2(35 + b)

➞ 100/2 = 35 + b

➞ 50 = 35 + b

➞ b = 50 - 35

➞ b = 15 cm

Therefore, the breadth of rectangle is 15 cm

Now, area of rectangle

➞ length × breadth

➞ 35 × 15

➞ 525 cm²

Hence, the area of rectangle is 525 cm²

Additional Information

• Area of circle = πr²
• Circumference of circle = 2πr
• Perimeter of square = 4 × side
• Area of square = side × side

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Answer 2

$\bf{\underline{\underline \green{Solution:-}}}$

AnswEr:

• The breadth of the rectangular sheet = 15 Cm.
• The area of the rectangular sheet = 525 Cm².

Given

• The perimeter of a rectangular sheet is 100 cm.
• The length of a rectangular sheet is 35 cm.

Need To Find:

• The breadth of the rectangular sheet = ?
• The area of the rectangular sheet = ?

$\bf{\underline{\underline \green{Explanation:-}}}$

In Case 1:

$\dag$Need To Find:-

• The breadth of the rectangular sheet = ?

Formula used here:

• Perimeter of the rectangle = 2 × Length + Breadth

Putting the values according to the given formula:

➠ 100 = 2 × ( 35 + Breadth)

➠ 35 + Breadth = 100/2

➠ 35 + Breadth = 50

➠ Breadth = 50 - 35

➠ Breadth = 15 Cm

ThereFore:

• The breadth of the rectangular sheet = 15 Cm.

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In Case 2:

$\dag$Need To Find:-

• The area of the rectangular sheet = ?

Formula Used Here:

• Area of rectangle = Length × Breadth

Putting the values according to the given formula:

➠ Area of the rectangular = 35 × 15

➠ Area of the rectangular = 525 Cm²

ThereFore:

• The area of the rectangular sheet = 525 Cm².

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