Question

) A rectangular sheet of paper is 30 cm long and 4 1 5 cm wide. Find the area and perimeter of the sheet.

Answer 1

Answer:

Perimeter= 2(length+breadth)

Area = length ✖️ breadth

Answer 2

$\sf\huge\bold{Answer:}$

Given :

Length of rectangular sheet =

$30cm$

Breadth of rectangular sheet =

$4 \frac{1}{5} cm$

To find :

• Area of sheet
• perimeter of sheet

Solution :

We know, formula to find area of rectangle is

$⇒area = length \times breadth$

Using this formula

$⇒area = 30 \times 4 \frac{1}{5}$

Now,converting

mixed fraction ⇒ improper fraction

$⇒area = 30 \times \frac{5 \times 4 + 1}{5} \\ ⇒area = 30 \times \frac{21}{5} \\ ⇒area = \frac{30}{5} \times 21 \\ ⇒area = 6 \times 21 \\ ⇒area = 126 {cm}^{2}$

Now,we also know ,formula to find perimeter of rectangle is

$⇒perimeter = 2(length + breadth)$

Using this formula

$⇒perimeter = 2(30 + 4 \frac{1}{5} )$

Converting

mixed fraction ⇒ improper fraction

$⇒perimeter = 2(30 + \frac{5 \times 4 + 1}{5}) \\ ⇒perimeter = 2(30 + \frac{21}{5} ) \\ ⇒perimeter = 2( \frac{150 + 21}{5} ) \\ ⇒perimeter = 2( \frac{171}{5} ) \\ ⇒perimeter = \frac{2 \times 171}{5} \\ ⇒perimeter = \frac{342}{5} \\ ⇒perimeter = 68.4cm$

Hence,

》area of rectangular sheet = $\fbox{126 sq. cm}$

and,

》perimeter of rectangular sheet = $\fbox{68.4 cm}$