Question

the area of this rhombus is 50 square feet. one of its diagonals is 20 feet. what is the length of the missing diagonal, ( d )?

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is $A = \frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of its diagonals.

Step2: Substitute known values

We know $A=50$ sq ft, $d_1=20$ ft. Plug into the formula:
$50 = \frac{1}{2} \times 20 \times d$

Step3: Simplify and solve for $d$

First calculate $\frac{1}{2} \times 20 = 10$, so:
$50 = 10d$
Then solve for $d$: $d = \frac{50}{10}$

Answer:

5 feet