Question

The length of a rectangular plot exceeds its breath by 5 metre . If the perimeter of the plot is 142 metres ,Find the length and the breadth of the plot

Answer 1

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Answer 2

Given :-

• The length of a rectangular plot exceeds its breath by 5 metre
• The perimeter of the plot is 142 m

To Find :-

• The length and the breadth of the plot

Solution :-

⟶ Let the Breadth be x m

⟶ Then the Length will be x + 5 m

According to the Question :

⟾ Perimeter of Plot = 2 ( L + B )

⟾ 142 = 2 ( x + 5 + x )

⟾ 142 / 2 = x + 5 + x

⟾ 71 = 2x + 5

⟾ 71 - 5 = 2x

⟾ 66 = 2x

⟾ 66 / 2 = x

⟾ 33 = x

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Verification :

➞ Perimeter of Plot = 2 ( L + B )

➞ Perimeter of Plot = 2 ( x + 5 + x )

➞ Perimeter of Plot = 2 ( 33 + 5 + 33 )

➞ Perimeter of Plot = 2 ( 38 + 33 )

➞ Perimeter of Plot = 2 × 71

➞ 142 = 142

Hence Verified

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Therefore :

• Length of Plot = x + 5 = 33 + 5 = 38m
• Breadth of Plot = x = 33m

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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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