Question

Perimeter of a rectangular plot is 860 metre. Its length is 4 more than its breadth.Find its length and breadth

Answer 1

Answer:

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Answer 2

Given :-

• Perimeter of Rectangle = 860m
• It's Length is 4 more than its breadth.

To Find :-

• It's Length and Breadth

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be x + 4

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 860 = 2 ( x + 4 + x )

➞ 860 / 2 = x + 4 + x

➞ 430 = 2x + 4

➞ 430 - 4 = 2x

➞ 426 = 2x

➞ 426 / 2 = x

➞ 213 = x

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Verification :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ Perimeter of Rectangle = 2 ( x + 4 + x )

➞ Perimeter of Rectangle = 2 (213 + 4 + 213)

➞ Perimeter of Rectangle = 2 (217 + 213)

➞ Perimeter of Rectangle = 2 × 430

➞ 860 = 860

Hence Verified

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Therefore :

• Length = x + 4 = 213 + 4 = 217m
• Breadth = x = 213m

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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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