Question 57

The sum of the squares of the sides of a rhombus is 900 m$$^2$$. What is the side of the rhombus.

Solution

Let the side of the rhombus = a

Given, the sum of the squares of the sides of a rhombus is 900 m$$^2$$

$$\Rightarrow$$ a$$^2$$ + a$$^2$$ + a$$^2$$ + a$$^2$$ = 900

$$\Rightarrow$$ 4a$$^2$$ = 900

$$\Rightarrow$$ a$$^2$$ = 225

$$\Rightarrow$$ a = 15 m

$$\therefore\ $$Side of the rhombus = a = 15 m

Hence, the correct answer is Option D

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