Question

original how do the areas compare? scaled 15 cm 8 cm a = 120 cm² 45 cm 24 cm a = 1,080 cm² the scaled rectangles area is 3 times larger than the original rectangles area. the scaled rectangles area is 9 times larger than the original rectangles area.

Explanation:

Step1: Identify area of original rectangle

The area of the original rectangle $A_{1}=120\ cm^{2}$

Step2: Identify area of scaled - rectangle

The area of the scaled rectangle $A_{2}=1080\ cm^{2}$

Step3: Calculate the ratio of areas

Let the ratio be $r=\frac{A_{2}}{A_{1}}=\frac{1080}{120} = 9$

Answer:

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