Question

the length of a rectangular park is three times it's breadth. if the perimeter of the park is 192 meters ,find the number​

Answer 1

Answer:

72

Step-by-step explanation:

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Answer 2

Given :-

• the length of a rectange is 3 times than it breadth
• Perimeter of Rectangle = 192m

To Find :-

• Length and Breadth of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be 3x

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 192 = 2 ( 3x + x )

➞ 192 / 2 = 3x + x

➞ 96 = 3x + x

➞ 96 = 4x

➞ 96 / 4 = x

➞ 24 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter of Rectangle = 2 (3x + x)

➞ Perimeter of Rectangle = 2 (3 × 24 + 24)

➞ Perimeter of Rectangle = 2 (72 + 24)

➞ Perimeter of Rectangle = 2 × 96

➞ 192 = 192

Hence Verified

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Therefore :

• Length = 3x = 3 × 24 = 72m
• Breadth = x = 24m

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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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