Answer:
48 units
Step-by-step explanation:
Point C is the midpoint o A B, point D is the midpoint of A C, point E is the midpoint of AD, and point F is the midpoint of AE. If A F = 3, what is the number of units in the length of AB.
Solution:
AE = 2* distance from A to F (F is at the midpoint of AB)
AD = 2 * AE (E is at the midpoint of AB)
AC = 2 * AD (D is at the midpoint of AB)
AB = 2 * AC (C is at the midpoint of AB)
Therefore since AB = 2 * AC
AB = 2(AC) = 2(2AD) = 4(AD)
AB = 4(AD) = 4(2 * AE)
AB = 8 * AE = 8(2 * A F)
AB = 16 * distance from A to F
To find the value of AB, when A F = 3, we substitute distance from A to F = 3;
AB = 16 * A F = 16 * 3 = 48 units
