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original |how do the areas compare?| scaled 6 cm 2 cm a = 12 cm² 18 cm …

Question

original |how do the areas compare?| scaled
6 cm
2 cm
a = 12 cm²
18 cm
6 cm
a = 108 cm²
the scaled rectangles area is 9 times larger than the original rectangles area.
the scaled rectangles area is 6 times larger than the original rectangles area.

Explanation:

Step1: Identify original and scaled areas

Original area $A_1 = 12\ cm^2$, scaled area $A_2=108\ cm^2$.

Step2: Calculate the ratio

$\frac{A_2}{A_1}=\frac{108}{12} = 9$.

Answer:

The scaled rectangle's area is 9 times larger than the original rectangle's area.