Question

if these two shapes are similar, what is the measure of the missing length t?
t = kilometers

Explanation:

Step1: Set up the proportion

Since the two shapes are similar, the ratios of their corresponding sides are equal. So, \(\frac{1.8}{4.8}=\frac{2.8}{t}\)

Step2: Cross - multiply

Cross - multiplying gives \(1.8t = 4.8\times2.8\)

Step3: Calculate the right - hand side

\(4.8\times2.8 = 13.44\), so the equation becomes \(1.8t=13.44\)

Step4: Solve for \(t\)

Divide both sides by \(1.8\): \(t=\frac{13.44}{1.8}\)
\(t = 7.466\cdots\approx7.5\)

Answer:

\(7.5\)