Question

founders park is planning to add a slide. the scaled model gives the reduced measures.
the park has space for the base of the slide to be 7 feet wide. to keep the slide proportional to the model, what will the height of the slide be?
the slide will have a height of feet

Explanation:

Step1: Set up proportion

Let \(x\) be the height of the slide. The proportion is \(\frac{3}{7}=\frac{3.5}{x}\) (since the ratio of model base to real - base equals the ratio of model height to real height).

Step2: Cross - multiply

Cross - multiplying gives \(3x = 3.5\times7\).

Step3: Solve for \(x\)

First, calculate \(3.5\times7 = 24.5\). Then \(x=\frac{24.5}{3}=\frac{245}{30}=\frac{49}{6}\approx8.17\)

Answer:

\(\frac{49}{6}\approx8.17\)