Answer:
[tex] \sf Area= 100 \, \textsf{ft}^2 [/tex]
Step-by-step Explanation:
The area ([tex]A[/tex]) of a rhombus can be calculated using the formula:
[tex] \Large\boxed{\boxed{ \sf Area = \dfrac{1}{2} \times \textsf{Diagonal}_1 \times \textsf{Diagonal}_2 }} [/tex]
Given:
- Diagonal 1: [tex]10 \, \textsf{ft} + 10 \, \textsf{ft} = 20 \, \textsf{ft}[/tex]
- Diagonal 2: [tex]5 \, \textsf{ft} + 5 \, \textsf{ft} = 10 \, \textsf{ft}[/tex]
Now, substitute these values into the formula:
[tex] A = \dfrac{1}{2} \times 20 \times 10 [/tex]
[tex] A = \dfrac{1}{2} \times 200 [/tex]
[tex] A = 100 \, \textsf{ft}^2 [/tex]
Therefore, the area of the rhombus is [tex]100 \, \textsf{ft}^2[/tex].
