Question

original how do the areas compare? scaled 36 m 6 m 18 m 3 m a = 648 m² a = 18 m² the scaled rectangles area is 36 times smaller than the original rectangles area. the scaled rectangles area is 1/36 the size of the original rectangles area.

Explanation:

Step1: Identify original and scaled - area

Original area $A_1 = 548\ m^2$, scaled area $A_2= 18\ m^2$.

Step2: Calculate the ratio

To find how many times smaller the scaled rectangle's area is compared to the original, we calculate $\frac{A_1}{A_2}=\frac{548}{18}=\frac{274}{9}\approx 30.44$. But if we assume there is a mistake in the values and the original area is $54\ m^2$ (since the ratio seems off with $548$), then $\frac{54}{18} = 3$.

Answer:

The scaled rectangle's area is $\frac{1}{3}$ the size of the original rectangle's area (assuming original area is $54\ m^2$). If using the given $548\ m^2$, the scaled rectangle's area is $\frac{18}{548}=\frac{9}{274}$ the size of the original rectangle's area.