Question

the length of a rectangular Park is thrice is breadth it if the perimeter of the park is 168 metres find find its dimensions

Answer 1

let the breath be X then length of the rectangular Park is =3x

perimeter of rectangle is =2 (l + b )
2(3x+X)=168
6x+2x=168
8 x =168
X=168÷8
X=21
therefore, breadth=21m
length=3x=3×21= 63

Answer 2

Given :-

• the length of a rectange is thrice its breadth
• Perimeter of Rectangle = 168m

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 )

➞ 168 = 2 ( 3x + x )

➞ 168 / 2 = 3x + x

➞ 84 = 4x

➞ 84 / 4 = x

➞ 21 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter of Rectangle = 2 (3x + x)

➞ Perimeter of Rectangle = 2 (3 × 21 + 21)

➞ Perimeter of Rectangle = 2 (63 + 21)

➞ Perimeter of Rectangle = 2 × 84

➞ 168 = 168

Hence Verified

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Therefore :

• Length = 3x = 3 × 21 = 63m
• 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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