Question

The perimeter of a rectangular field is 280m. If its length is 50 m more than the breadth, find the length and breadth of the rectangle

Answer 1

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Answer 2

Given :-

• Its length is 50 m more than the breadth
• Perimeter of Rectangle = 280m

To Find :-

• Length and Breadth of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 50

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 280 = 2 ( x + 50 + x )

➞ 280 / 2 = x + 50 + x

➞ 140 = 2x + 50

➞ 140 - 50 = 2x

➞ 90 = 2x

➞ 90 / 2 = x

➞ 45 = x

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Verification :

➞ Perimeter = 2 ( L + B )

➞ Perimeter = 2 (x + 50 + x)

➞ Perimeter = 2 (45 + 50 + 45)

➞ Perimeter = 2 (95 + 45)

➞ Perimeter = 2 × 140

➞ 280 = 280

Hence Verified

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Therefore :

• Length = x + 50 = 45 + 50 = 95m
• Breadth = x = 45m

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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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