Question

The perimeter of a rectangular sheet is 170 cm if the its breadth is 20 cm more than its length. Find the length and find the area.

Answer 1

Answer:

Step-by-step explanation:

Given :-

Perimeter of the Rectangle = 170 cm

Its breadth is 20 cm more than its length .

To Find :-

Length and Area of rectangular sheet.

Formula to be used :-

Perimeter of rectangle = 2 × (Length + Breadth)

Area of rectangle = Length × Breadth

Solution :-

Let the Length be x and Breadth be x + 20.

According to the Question

Perimeter of rectangle = 2 × (Length + Breadth)

⇒ 2 × (x + x + 20) = 170

⇒ 2 × (2x + 20) = 170

⇒ 4x + 40 = 170

⇒ 4x = 170 - 40

⇒ 4x = 130

⇒ x = 130/4

⇒ x = 32.5

Length of rectangular sheet = x = 32.5 cm

Breadth of rectangular sheet = x + 20 = 32.5 + 20 = 52.5 cm

Area of rectangular sheet = Length × Breadth

Area of rectangular sheet = (32.5 × 52.5) cm²

Area of rectangular sheet = 1706.25 cm²

Hence, Length and breadth of rectangular sheet is 32.5 cm and 52.5 cm.

And Area of rectangular sheet is 1706.25 cm².

Answer 2

Answer:

The Area of the rectangle is 1706.25 cm².

Step-by-step explanation:

Given :

Perimeter of the rectangle = 170 cm

Breadth = 20 cm more than its length

To find :

The length and the area

Solution :

Let the -

• Length be as x
• Breadth be as (x + 20)

★ Perimeter = 2(Length + Breadth)

⇒ 170 = 2(x + x + 20)

⇒ 170 = 2(2x + 20)

⇒ 170 = 4x + 40

⇒ 4x = 170 - 40

⇒ 4x = 130

⇒ x = 130/4

⇒ x = 32.5 cm

$\rule{300}{1.5}$

★ Value of (x + 20)

⇒ 32.5 + 20

⇒ 52.5 cm

Length = 52.5 cm

Breadth = 32.5 cm

$\rule{300}{1.5}$

★ Area of the rectangle = Length × Breadth

⇒ 52.5 × 32.5

⇒ 1706.25 cm²

$\therefore$ The Area of the rectangle is 1706.25 cm².