Answer: 22 square feet
Step-by-step explanation:
Using Heon's formula, the are can be found with:
[tex]= \sqrt{s(s - a)(s - b)(s - c)}[/tex]
Where s is half the perimeter
a, b and c are sides
Perimeter = a + b +c
24 = 9 + 10 + c
c = 24 - 9 - 10
c = 5 feet
s = 24 / 2 = 12
Area
[tex]= \sqrt{s(s - a)(s - b)(s - c)}\\\\= \sqrt{12(12 - 9)(12 - 10)(12 - 5)}\\\\= \sqrt{12 * 3 * 2 * 7}\\\\\\= \sqrt{504} \\\\[/tex]
= 22 ft²
