Question

the area of this rhombus is 0.625 square feet. one of its diagonals is 0.5 feet. what is the length of the missing diagonal, d?
feet

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 $d_1$ and $d_2$ are the lengths of its diagonals.

Step2: Substitute known values

We know $A = 0.625$ square feet, $d_1 = 0.5$ feet. Plug into the formula:
$0.625 = \frac{1}{2} \times 0.5 \times d$

Step3: Solve for $d$

First calculate $\frac{1}{2} \times 0.5 = 0.25$. Then rearrange to solve for $d$:
$d = \frac{0.625}{0.25}$
$d = 2.5$

Answer:

2.5 feet