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what is the relationship between the area of the scale - drawing and th…

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.

scalewidthlengtharea
1 cm = 2 m15 cm20 cm300 cm²
1 cm = 10 m3 cm4 cm12 cm²

12·□ = 1200

Explanation:

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 $x=\frac{1200}{12}$.
$x = 100$.

Answer:

100