Question

the area of this rhombus is 0.02 square yards. one of its diagonals is 0.1 yard. what is the length of the missing diagonal, ( d )? yards

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is given by $A = \frac{1}{2} \times d_1 \times d_2$, where $A$ is area, $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Rearrange formula to solve for $d$

Rearrange to isolate the unknown diagonal: $d = \frac{2A}{d_1}$

Step3: Substitute given values

Substitute $A=0.02$ yd², $d_1=0.1$ yd:
$d = \frac{2 \times 0.02}{0.1}$

Step4: Calculate the value

First compute numerator: $2 \times 0.02 = 0.04$, then divide: $\frac{0.04}{0.1} = 0.4$

Answer:

0.4 yards