Question

the figures are similar. find the missing side and enter in the pink box.
x
8.5
50.4
68

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. So, \(\frac{x}{50.4}=\frac{8.5}{68}\).

Step2: Cross - multiply

Cross - multiplying gives \(68x = 50.4\times8.5\).
First, calculate \(50.4\times8.5=(50 + 0.4)\times8.5=50\times8.5+0.4\times8.5 = 425+3.4=428.4\). So, \(68x = 428.4\).

Step3: Solve for \(x\)

Divide both sides by 68: \(x=\frac{428.4}{68}\).
\(x = 6.3\).

Answer:

\(6.3\)