Question

the area of a rectangular sheet is 500cm .if the length of the sheet is 25cm , what is the breadth ? also find the perimeter of the rectangular sheet​

Answer 1

Question:-

the area of a rectangular sheet is 500cm .if the length of the sheet is 25cm , what is the breadth ? also find the perimeter of the rectangular sheet

Answer:-

• The breadth of rectangle is 20 cm
• The perimeter of rectangle is 90 cm.

To find:-

• Perimeter and breadth of rectangle

Solution:-

• Area = 500 cm²
• Length (l) = 25 cm
• Breadth (b) = ?

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \mathfrak{ \star \: \: \: {area = l \times b}}}$

According to question,

$\large{ \tt : \implies \: \: \: \: 25 \times b = 500}$

$\large{ \tt : \implies \: \: \: \: b = \frac{500}{25} }$

$\large{ \tt : \implies \: \: \: \: b = 20 \: cm}$

Thus,

• The breadth of rectangle is 20 cm

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \mathfrak{ \star \: \: \: {perimeter = 2(l + b)}}}$

$\large{ \tt : \implies \: \: \: \: \: perimeter = 2(25 + 20)}$

$\large{ \tt : \implies \: \: \: \: \: perimeter = 2 \times 45}$

$\large{ \tt : \implies \: \: \: \: \: perimeter = 90 \: cm}$

• The perimeter of rectangle is 90 cm.

Answer 2

Answer :

• Breadth of the rectangular sheet = 20cm
• Perimeter of the rectangular sheet = 90cm

Given :

• The area of a rectangular sheet is 500cm and the length of the sheet is 25cm.

To Find :

• Breadth and perimeter of the rectangular sheet.

Solution :

Here

1. Area of the rectangular sheet = 500cm
2. Length of the rectangular sheet = 25cm

We've to find breadth of the rectangular sheet.

As we know that

• Area of a rectangle = l × b

Where

• l = length
• b = breadth

Now

→ Area of the rectangle = l × b

→ 500 = 25 × b

→ 500/25 = b

→ b = 20cm

Breadth of the rectangular sheet is 20cm

Now, we've to find perimeter of the rectangular sheet.

As we know that

• Perimeter of the rectangle = 2 (l + b)

According to question :

→ Perimeter of the rectangle = 2 (l + b)

→ Perimeter of the rectangle = 2 (25 + 20)

→ Perimeter of the rectangle = 2 × 45

→ Perimeter of the rectangle = 90cm

Hence,

1. Breadth of the rectangular sheet = 20cm
2. Perimeter of the rectangular sheet = 90cm