Answer: 24.25[tex]cm^{2}[/tex]
Step-by-step explanation:
The formula for calculating the area of a triangle given the apothem and perimeter is
Area = [tex]\frac{1}{2}[/tex] x apothem x perimeter
apothem = 2.16
perimeter = 22.45
substituting into the formula , we have
Area = [tex]\frac{1}{2}[/tex] x 2.16 x 22.45
Area = 24.246[tex]cm^{2}[/tex]
Area≈ 24.25[tex]cm^{2}[/tex]
