Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of
the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is inches.
⇒Perimeter of Any Triangle=Sum of three Sides of triangle
Perimeter of Equilateral Triangle having side 16 inches =16+16+16=48 inches
Now, The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle.
Perimeter of Second Triangle = 8+8+8=24 inches
Perimeter of Third Triangle = 4 +4+4=12 inches
Perimeter of fourth Triangle = 2 +2+2=6 inches
The sum of the perimeters of all four triangles in inches
Answer: Ally would need 6 more quarts of water. Explanation: Since 4 quarts equal 1 gallon, 4*4 = 16 + 2 = 18, Julia would have 18 quarts. Subtract 12 from 18 to get 6 quarts.