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Maharashtra State BoardSSC (English Medium) 9th Standard

Write the Following Ratio in the Reduced Form. The ratio of diagonal to the length of a rectangle, having length 4 cm and breadth 3 cm. - Algebra

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Question

Write the Following Ratio in the Reduced Form.

The ratio of diagonal to the length of a rectangle, having length 4 cm and breadth 3 cm.

Sum
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Solution

Length of the rectangle, l = 4 cm

Breadth of the rectangle, b = 3 cm

Now,

Diagonal of the rectangle = `sqrt [l^2 + b^2]`

= `sqrt [ 3^2 + 4^2]`

 = `sqrt [ 9 + 16]`

= `sqrt 25`

= `5  cm`

∴ Ratio of diagonal to the length of the rectangle = Diagonal of the rectangle : Length of the rectangle = 5 cm : 4 cm = 5 : 4.

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Properties of Ratio
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Chapter 4: Ratio and Proportion - Problem Set 4 [Page 78]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 4 Ratio and Proportion
Problem Set 4 | Q (3) (ii) | Page 78

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