What is the slant height of a regular pyramid if its lateral area is 160 units² and the perimeter of the base is 40 units?
Accepted Solution
A:
Answer:The slant height of a regular pyramid is [tex]l=8\ units[/tex]Step-by-step explanation:we know thatThe lateral area of a regular pyramid is equal to[tex]LA=\frac{1}{2}Pl[/tex]whereLA is the lateral areaP is the perimeter of the basel is the slant heightwe have[tex]LA=160\ units^{2}[/tex][tex]P=40\ units[/tex]substitute in the formula and solve for l[tex]160=\frac{1}{2}(40)l[/tex][tex]160=20l[/tex][tex]l=160/20[/tex][tex]l=8\ units[/tex]