Question

the length of a rectangle exceeds its breadth by 6meters if the perimeter of the rectangle is 96m find its length and breadth in centimeter

Answer 1

hope the answer helps

Answer 2

Given :

• The length of a rectange is 6m more than it breadth
• Perimeter of Rectangle = 96m

To Find :

• Length and Breadth of Rectangle

Solution :

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 6

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 96 = 2 ( x + 6 + x )

➞ 96 / 2 = x + 6 + x

➞ 48 = 2x + 6

➞ 48 - 6 = 2x

➞ 42 = 2x

➞ 42 / 2 = x

➞ 21 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

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

➞ Perimeter of Rectangle = 2 (21 + 6 + 21)

➞ Perimeter of Rectangle = 2 (27 + 21)

➞ Perimeter of Rectangle = 2 × 48

➞ 96 = 96

Hence Verified

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Therefore :

• Length = x + 6 = 21 + 6 = 27m
• Breadth = x = 21m

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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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