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the scale drawing shows the swimming pool and wading pool at a communit…

Question

the scale drawing shows the swimming pool and wading pool at a community center. the scale is shown in the drawing. what is the actual length of the swimming pool? swimming pool wading pool 25 cm 15 cm 1 cm:2.5 m

Explanation:

Step1: Identify the scale - factor

The scale is $1\mathrm{cm}:2.5\mathrm{m}$, which means 1 cm on the drawing represents 2.5 m in real - life.

Step2: Measure the length on the drawing

The length of the swimming pool on the drawing is $25\mathrm{cm}$.

Step3: Calculate the actual length

We use the proportion. Let $x$ be the actual length. Then $\frac{1}{2.5}=\frac{25}{x}$. Cross - multiplying gives $x = 2.5\times25$.
$x=2.5\times25 = 62.5$ m

Answer:

$62.5$