Question

ef = 3x. fg is three times as long as ef. eg is 72. find fg. hint you solve for x, but to answer the question, you have to solve for the length of fg.

Explanation:

Step1: Define FG in terms of x

$FG = 3 \times EF = 3(3x) = 9x$

Step2: Set up total length equation

$EG = EF + FG = 3x + 9x = 12x$

Step3: Solve for x using EG=72

$12x = 72 \implies x = \frac{72}{12} = 6$

Step4: Calculate FG length

$FG = 9x = 9 \times 6 = 54$

Answer:

54 (Option: 54)