Question

The length of a rectangle is 6cm more than its breadth. if the perimeter of the rectangle is 84 cm , find the its length and breadth.

Answer 1

Answer:

. Length is 24 cm.

. Breadth is 18 cm.

Step-by-step explanation:

Answer 2

Given :-

• The length of a rectangle is 6cm more than its breadth.
• Perimeter of Rectangle = 84cm

To Find :-

• Measures of Length and Breadth

Solution :-

❏ As we know that Perimeter of a Rectangle is given by [ Perimeter = 2 ( Length + Breadth ) ]. Now According to the Question it is given that The length of a rectangle is 6cm more than its breadth Therefore :

⟼ Let the Breadth be x cm

⟼ Then the Length will be x + 6 cm

According to the Question :

➞ Perimeter of Rectangle = 2( L + B )

➞ 84 = 2( x + 6 + x )

➞ 84 / 2 = ( x + 6 + x )

➞ 42 = 2x + 6

➞ 42 - 6 = 2x

➞ 36 = 2x

➞ 36 / 2 = x

➞ 18cm = x

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Verification :

➟ Perimeter of Rectangle = 2( L + B )

➟ Perimeter of Rectangle = 2( x + 6 + x)

➟ Perimeter of Rectangle = 2(18 + 6 + 18)

➟ Perimeter of Rectangle = 2(36 + 6)

➟ Perimeter of Rectangle = 2 × 42

➟ 84 = 84

Hence Verified

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Therefore :

• Length of Rectangle = x + 6 = 18 + 6 = 24cm
• Breadth of Rectangle = x = 18cm

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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 = √(l)² + (b)²

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