Question

if the perimeter of a rectangle is35cm and its length and breadth are in the ratio 3:2,find the length and breadth of the rectangle​

Answer 1

Answer:

Given :-

• Perimeter = 35 cm
• Ratio = 3:2

To Find :-

Length and Breadth

Solution :-

As we know that

Perimeter = 2(l + b)

Let the length and breadth be 3x and 2x.

$\sf \: 35 = 3(3x + 2x)$

$\sf \: 35 = 2(5x)$

$\sf \: 35 = 10x$

$\sf \: x \: = 3.5$

Sides are

Length => 3(3.5) = 10.5

Breadth => 2(3.5) = 7

Answer 2

Given :-

• Perimeter of Rectangle = 35cm
• Ratio of Length and Breadth = 3:2

To Find :-

• Measures of Length and Breadth.

Solution :-

Let the Length be 3x

Let the Breadth be 2x

According to the Question :-

⇒ Perimeter = 2 (Length + Breadth)

⇒ 35 = 2 ( 3x + 2x )

⇒ 35 = 2 × 5x

⇒ 35 = 10x

⇒ 35 / 10 = x

⇒ 3.5 = x

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Verification :-

⇒ Perimeter = 2 (Length + Breadth)

⇒ 35 = 2 ( 3x + 2x )

⇒ 35 = 2 ( 3 × 3.5 + 2 × 3.5 )

⇒ 35 = 2 ( 10.5 + 7 )

⇒ 35 = 2 × 17.5

⇒ 35 = 35

Hence, Verified

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Therefore, :

• Length = 3x = 3 × 3.5 = 10.5cm
• Breadth = 2x = 2 × 3.5 = 7cm

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★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(Length)² + (Breadth)²

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