Question

$\frac{1in.}{2ft.} = \frac{xin.}{11ft.}$
$\frac{1in.}{2ft.} = \frac{xin.}{11ft.}$ -- cross multiply
$2 \cdot x = 11 \cdot 1$
$2x = 11$
$\frac{2x}{2} = \frac{11}{2}$ -- divide both sides by 2
$x = ?$
a 22 inches
b 7.5 inches
c 5.5 inches

Explanation:

Step1: Cross Multiply the Proportion

Given the proportion \(\frac{1}{2}=\frac{x}{11}\), cross - multiply to get \(2\times x = 11\times1\).

Step2: Simplify the Equation

Simplify the right - hand side of the equation \(2x=11\).

Step3: Solve for \(x\)

Divide both sides of the equation \(2x = 11\) by 2. So, \(x=\frac{11}{2}=5.5\).

Answer:

C. 5.5 inches