Question

The length of a rectangle is 56 cm. If the ratio of legth to breadth is 7:2,

a] Find breadth b] Find the perimeter.​

Answer 1

Correct Question :

• The Area of a rectangle is 56 cm². If the ratio of legth to breadth is 7:2

• a.) Find breadth

• b.) Find the perimeter.

Given :

• Area of Rectangle = 56cm²

• Length and breadth = 7:2

To Find :

• a.) Find breadth

• b.) Find the perimeter.

Solution :

✬ Here in the question Length and breadth are given in ratio. So, let's assume the length be 7x and Breadth be 2x. We know that area of rectangle is Length × Breadth. Firstly we will find the length and breadth of the rectangle. After Finding Length and breadth of the rectangle, we can easily find the Perimeter of Rectangle.

• Let Length (L) = 7x

• Breadth (B) = 2x

Area of Rectangle = L × B

⟼ 56 = 7x × 2x

⟼ 56 = 14x²

⟼ x² = 56/ 14

⟼ x = √4

⟼ x = 2cm

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Length

• Length = 7x = 7 × 2

• Length = 14cm

Breadth

• Breadth = 2x = 2 × 2

• Breadth = 4cm

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Now, Perimeter = 2 (L + B)

Where,

• Length (L) = 14cm

• Breadth (B) = 4cm

⟼ Perimeter = 2 (14 + 4)

⟼ Perimeter = 2 × 18

⟼ Perimeter = 36cm

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• Breadth of Rectangle is 4cm

• Perimeter of Rectangle is 36cm

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Answer 2

Given :

• Length of Rectangle = 56cm
• Ratio of Length and Breadth = 7:2

To Find :

• Breadth of Rectangle
• Perimeter of Rectangle

Solution :

Let,

• Breadth of Rectangle = 2a

According to the Question :

⟶⠀Length of Rectangle = Ratio

⟶⠀56 = 7a

⟶⠀56/7 = a

⟶⠀8 = a

Therefore :

A) Breadth of Rectangle :

• Breadth of Rectangle = 2a
• Breadth of Rectangle = 2 × 8
• Breadth of Rectangle = 16cm

B) Perimeter of Rectangle :

We know that,

⠀⠀✰ Perimeter = 2(Length + Breadth)

⟶⠀Perimeter = 2(Length + Breadth)

⟶⠀Perimeter = 2(56 + 16)

⟶⠀Perimeter = 2 × 72

⟶⠀Perimeter = 144cm

So, Perimeter of the Rectangle is 144cm

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