ANSWER
The base area of figure 1 is 480 square cm
STEP-BY-STEP EXPLANATION
Given information
The base area of figure 2 = 120 square centimeters
Figure 1 is similar to figure 2 by a scale factor of 2
Step 1: Find the base area of figure 1 by using the below formula
[tex]\begin{gathered} \frac{Base\text{ area of figure }1}{\text{Base area of figure }2}=Scalefactor^2 \\ \frac{\text{Base area of fig. 1}}{\text{120 }}=(^2\frac{2}{1}) \\ \text{Cross multiply} \\ \text{Base area of figure 1 = 120 }\times4 \\ \text{Base area of figure 1 = 480 }cm^2 \end{gathered}[/tex]
Hence, the base area of figure 1 is 480 square cm
