We are given area of the square base = 144 square inches.
Let us find first side of the square base.
Side of the square base = [tex]\sqrt{Area \ of \ square}[/tex]
Side of the square base = [tex]\sqrt{144} = 12 \ inches[/tex]
Perimeter of the square base = 4 × side = 4 × 12 = 48 inches.
Slant height = 10 inches.
Total area of right pyramid with a square base = Area of square base + 1/2( perimeter of the base × slant height).
Total area of right pyramid with a square base = 144 + 1/2 (48 × 10)
= 144 + 1/2 ( 480)
= 144 + 240
= 384 square inches.
