Find the following measure for this figure.Lateral area =55 square units5√(47) square units5√(146) square units

Answer: last option (5π√146 units²)Step-by-step explanation: To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:  [tex]LA=r*L*\pi[/tex] where r is the radius but L is the slant height. As you can see in the figure attached: [tex]r=5[/tex] But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse): [tex]L=\sqrt{11^2+5^2}=\sqrt{146}[/tex] Substitute into the formula, then:  [tex]LA=(5)(\sqrt{146})\pi=5\pi\ \sqrt{146[/tex]units²