Question

The length and breadth of rectangular box is in the ratio 4:5 if it's perimeter is 4m 40cm , find its dimensions ?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:-

• Length : Breadth = 4 : 5
• Perimeter = 4m 40cm

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Need to find:-

• Length = ?
• Breadth = ?

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Solution :-

Let

• The length be 4x
• The breadth be 5x

We know,

Perimeter of rectangle = 2 ×( Length + Breadth )

→ Perimeter = 2 × (4x + 5x)

→ Perimeter = 2 × 9x

→ Perimeter = 18x ------ i

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Its given that,

Perimeter of the rectangle = 4m 40cm

→ Perimeter = (4 × 100) cm + 40cm

→ Perimeter = 400 cm + 40cm

→Perimeter = 440 cm ------ii

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Equating i and ii we get,

18x = 440cm

→ x = 440 ÷ 18cm

→ x = 24.44 cm

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Thus

Length = 4x

→ Length = 4 × 24.44 cm

→ Length = 97.76 cm

Breadth = 5x

→ Breadth = 5 × 24.44 cm

→ Breadth = 122.2 cm

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$\therefore$Length = 97.76cm and breadth = 122.2 cm