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The area of a rhombus can be evaluated using the formula 1/2 d1d2 , where d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal. When d1 is a terminating decimal and d2 is a repeating decimal, what can be concluded about the area of the rhombus?

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JannetPalos

Answer:

Area of the rhombus is a rational number

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] is a rational number.

The decimal expansion of a rational number is either terminating or non terminating and repeating.

[tex]d_{1}[/tex] is a terminating decimal and so it is a rational number.

[tex]d_{2}[/tex] is a repeating decimal and so it is also a rational number.

Therefore,

[tex]\frac{1}{2} d_{1} d_{2}[/tex] = product of three rational numbers

= a rational number

Hence, area of the rhombus is a rational number

Answer: C

Step-by-step explanation: just did it