Question

now look at the relationship between the areas of the two figures. how many square meters are represented by 1 square centimeter? complete the expression to help you solve. scale width length area 1 m = 1 m 30 m 40 m 1,200 m² 1 cm = 5 m 6 cm 8 cm 48 cm² 1 cm² =? m² 48·□ = 1,200 2⁵ 5² 2² 5 12

Explanation:

Step1: Find the conversion factor

We know that the real - area is 1200 $m^{2}$ and the scaled - area is 48 $cm^{2}$. Let the conversion factor from $cm^{2}$ to $m^{2}$ be $x$. Then $48x = 1200$.

Step2: Solve for $x$

To find $x$, we use the formula $x=\frac{1200}{48}$.
$x = 25$. So 1 $cm^{2}$ represents 25 $m^{2}$.

Answer:

25