Question

The length and breadth of a rectengular farm of area 2160 sq metre are in the ratio 5:3. the length and breagth of the field are

Answer 1

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Answer 2

Given :-

• The Length and Breadth of a Rectangular Farm are in the ratio 5:3
• Area of Farm = 2160m²

To Find :-

• Length and Breadth of the Farm

Solution :-

❏ As we know that, Area of Rectangular Farm is given by Length × Breadth

⟼ Let the Length be 5x

⟼ Let the Breadth be 3x

Putting the Values :

➞ Area of Farm = Length × Breadth

➞ 2160 = 5x × 3x

➞ 2160 = 15x²

➞ 2160 / 15 = x²

➞ 144 = x²

➞ √144 = x

➞ 12 = x

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Therefore :

• Length of Farm = 5x = 5 × 12 = 60m
• Breadth of Farm = 3x = 3 × 12 = 36m

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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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