Question

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?

Answer 1

Answer: C

Step-by-step explanation: just did it

Answer 2

Answer:

Area of the rhombus is a rational number

Step-by-step explanation:

$\frac{1}{2}$ is a rational number.

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

$d_{1}$ is a terminating decimal and so it is a rational number.

$d_{2}$ is a repeating decimal and so it is also a rational number.

Therefore,

$\frac{1}{2} d_{1} d_{2}$ = product of three rational numbers

= a rational number

Hence, area of the rhombus is a rational number