QUESTION IMAGE
Question
what is the relationship between the area of the scale - drawing and the area of the actual pool? how many square meters are represented by 1 square centimeter? complete the expression to help you solve.
| scale | width | length | area |
|---|---|---|---|
| 1 cm = 2 m | 15 cm | 20 cm | 300 cm² |
| 1 cm = 10 m | 3 cm | 4 cm | 12 cm² |
12·□ = 1200
Step1: Identify the relationship
We know that the area of the actual pool is 1200 square - meters and the area of the scale - drawing is 12 square centimeters. We want to find out how many square meters are represented by 1 square centimeter. Let the number of square meters per square centimeter be $x$.
Step2: Set up the proportion
We have the equation $12x = 1200$.
Step3: Solve for $x$
To solve for $x$, we divide both sides of the equation by 12. So $x=\frac{1200}{12}$.
$x = 100$.
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