Question

The adjacent sides of a rectangle are in the ratio 5:12 . If the perimeter of the rectangle is 34 cm. Find the diagonals of the rectangle.​

Answer 1

Given:

If the Adjacent sides of a Rectangle are in the ration 5:12 and If the Perimeter of the Rectangle is 34 cm, Find the Length of the diagonals ??

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To Find:

The length of the diagonals

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Solution:

Ratio of the adjacent sides of the rectangle= 5:12

Let the two adjacent sides be- 5x and 12x

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⋆We know that the sum of all sides of a rectangle is equal to it's Perimeter.

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Here,

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$\qquad{\sf:\implies{5x + 12x + 5x + 12x = 34cm~(Given)}}$

$\qquad{\sf:\implies{34x = 34}}$

$\qquad{\sf:\implies{x = \dfrac{34}{34}}}$

$\qquad{\sf:\implies{x = 1cm}}$

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Thereby,

The adjacent sides are 5cm and 12cm respectively.

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Which Means,

$\qquad{\sf{Length = 12cm}}$

$\qquad{\sf{Breadth = 5cm}}$

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Length of the Diagonal:

Length of the Diagonal = √(l² + b²)

$\qquad{\sf:\implies{√(12² + 5²)}}$

$\qquad{\sf:\implies{√(144 + 25)}}$

$\qquad{\sf:\implies{√169}}$

$\qquad:\implies{\underline{\boxed{\frak{\purple{13cm}}}}}$

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Final Answer:

The length of the Diameter is 13cm

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⠀⠀⠀⠀⠀⠀Knoᥕ Morᥱ !!

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Chapter- Quadrilaterals

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⋆ Two sides of a quadrilateral are said to be adjacent sides of the quadrilateral, if they have a common end and point

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⋆ Two sides of a quadrilateral are said to be opposite sides of the quadrilateral, if they are not adjacent sides.

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⋆ Two angles of a quadrilateral are said to be adjacent angles of the quadrilateral, if they have a side of the quadrilateral in common.

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Answer 2

Answer:

answer is 13cm

Step-by-step explanation:

Hope this help you