Q3 of 15 Page 137

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

By what fraction should the longer side be decreased to make it a square?

By what fraction should the longer side be decreased to make it a square

Longer side = 5x


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


⇒ 5x - 5x × n% = 4x


⇒ 5x = 4x + 5x × n%


⇒ 5x × n% = 5x – 4x


⇒ 5x × n% = x


⇒ n%


∴ Longer side should be decreased by


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