Question

the perimeter of a rectangular field is130m. if its length is 5m more than its breadth, find the length and breadth of the field​

Answer 1

Answer:

the answer for length is 35m and breadth is 30m

Answer 2

Given :-

• the length of a rectange is 5m more than it breadth
• Perimeter of Rectangle = 130m

To Find :-

• Length and Breadth of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 5

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 130 = 2 ( x + 5 + x )

➞ 130 / 2 = x + 5 + x

➞ 65 = 2x + 5

➞ 65 - 5 = 2x

➞ 60 = 2x

➞ 60 / 2 = x

➞ 30 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter of Rectangle = 2 (x + 5 + x)

➞ Perimeter of Rectangle = 2 (30 + 5 + 30)

➞ Perimeter of Rectangle = 2 (35 + 30)

➞ Perimeter of Rectangle = 2 × 65

➞ 130 = 130

Hence Verified

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Therefore :

• Length = x + 5 = 30 + 5 = 35m
• Breadth = x = 30m

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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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