Q3 of 15 Page 137

The sides of a rectangle are in the ratio 4 : 5.

By what fraction should the shorter side be increased to make it a square?

Given: Ratio of sides of rectangle = 4: 5

Let the sides of rectangle be 4x and 5x


i. By what fraction should the shorter side be increased to make it a square


Shorter side = 4x


To make it a square, 4x should be increased to make it as 5x by n%.


⇒ 4x + 4x × n% = 5x


⇒ 4x × n% = 5x - 4x


⇒ 4x × n% =x


⇒ n%


∴ Shorter side should be increased by


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1

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Two quantities are in the ratio 3 : 5.

(i) If the smaller alone is made four times the original, what would the ratio be?


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