Three-fifth of the square of a certain number is 126.15. What is the number ? Options: A . &nbsp14.5 B . &nbsp75.69 C . &nbsp145 D . &nbsp210.25

Three-fifth of the squ

Question

Three-fifth of the square of a certain number is 126.15. What is the number ?

Options:

A . 14.5

B . 75.69

C . 145

D . 210.25

Answer: Option A

Let the number be `x` then,

`3/5 x^2 `= 126.15 `hArr` `x^2` = ` (126.15xx 5/3)` = 210.25 `hArr` `x` = `sqrt(210.25)` = 14.5.

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