Alright let's solve this problem step by step:
Question 1: Find the perimeter
- Definition of Perimeter: basically all the side lengths added up
The figure is made up triangles
⇒ however, we do not know the slanted line that goes from the tip to
the edge of the base.
⇒ we can use the Pythagorean Theorem to help us
[tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]
Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4
= 50.2 inches
Question 2: Find the slant height
- Definition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.
*look at image attached to better understand this definition
⇒ Slant height = 5.7inches
Question 3: Find the Lateral Area
- Definition of Lateral Area: area of the non-base faces only
Lateral Area = 5 * (Area of Triangle Faces)
= [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]
= 57 in^2
Hope that helps!
