Question

area of rectangle is 500 square if it's length is 25 cm what it's worth and perimeter​

Answer 1

area of rectangle =l×b,500×25= 12500

Answer 2

Correct Question :

The area of a rectangular sheet is 500 cm² if the length of the sheet is 25 cm. What is its width also find the perimeter of the rectangular sheet.

Answer :

• The width of the sheet = 20 cm.
• The perimeter of a rectangular sheet = 90 cm.

Given :

• The area of a rectangular sheet = 500 cm².
• The length of the sheet = 25 cm.

To Find :

• The width of the sheet.
• The perimeter of a rectangular sheet.

Solution :

1. The width of the sheet.

Let,

The width of the sheet be x.

We know that,

Area of rectangle = length × width

Given,

• Area of a rectangular sheet = 500 cm²

• The length of the sheet = 25 cm

$: \implies \rm500 { \: cm}^{2} = 25 \: cm \times x \\ \\ : \implies \rm \dfrac{500 \: {cm}^{2} }{25 \: cm} = x \\ \\ : \implies \rm20 \: cm = x \\ \\ \: \: \therefore \: \: \rm x = 20 \: cm$

Hence,

The width of the sheet is 20 cm.

_______________________________

2. The perimeter of a rectangular sheet.

We know that,

Perimeter of rectangle = 2(length + width)

We have,

• length = 25 cm.
• width = 20 cm.

$: \implies \rm2(25 \: cm + 20 \: cm) \\ \\ : \implies \rm2(45 \: cm) \\ \\ : \implies \rm2 \times 45 \: cm \\ \\ : \implies \rm90 \: cm \\ \\ \: \: \therefore \: \: \rm Perimeter \: of \: the \: sheet = 90 \: cm$

Hence,

The perimeter of a rectangular sheet is 90 cm.