Question

these two shapes are similar. find c.
3 ft.
2 ft.
6 ft.
c
c = □ feet
submit

Explanation:

Step1: Set up the proportion

Since the two shapes are similar, the ratios of corresponding sides are equal. So, \(\frac{2}{3}=\frac{6}{c}\).

Step2: Cross - multiply

Cross - multiplying gives \(2c = 3\times6\).

Step3: Simplify the right - hand side

\(3\times6 = 18\), so \(2c=18\).

Step4: Solve for \(c\)

Divide both sides by 2: \(c=\frac{18}{2}\).

Answer:

\(9\)