Question

The length of a rectangular field is 280 m. If the ratio between the length and breadth of the field is 5 : 3 , then the breadth of the field will be​

Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• The length of a rectangular field is 280 m

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• Ratio between the length and breadth of the field is 5 : 3

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• Breadth of the field

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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As per the question ratio between the length and breadth of the field is 5 : 3

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So,

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• Length of rectangular field is 5x

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• Breadth of rectangular field is 3x -- (1)

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Also given that the length of a rectangular field is 280 m

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Thus,

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➜ 5x = 280

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➜ $\sf x = \dfrac { 280 } { 5 }$

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➨ x = 56

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Now from equation (1) breadth is 3x

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$\underline{\bold{\texttt{Breadth of rectangular field :}}}$

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➜ 3x

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➜ 3(56)

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➨ 168

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• Hence the breadth of rectangular field is 168 m

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Additional information

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Area of rectangle

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• Length × Breadth

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Perimeter of rectangle

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• 2(Length + Breadth)

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Diagonal of rectangle

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• $\sf d \: = \: \sqrt{{ l}^{2} + {b }^{2} }$

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↬ d = Diagonal of rectangle

↬ l = Length of rectangle

↬ b = Breadth of rectangle

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Properties of rectangle

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• The opposite sides are parallel and equal to each other.

• Each interior angle is equal to 90 degrees.

• The sum of all the interior angles is equal to 360 degrees.

• The diagonals bisect each other.

• Both the diagonals have the same length.

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