Answer:
The Area of the first figure is 18[tex]in^{2}[/tex]
Step-by-step explanation:
Since the question states that both of the figures are similar we can use the information from figure 2 in order to find the area of figure 1. We do this by using the simple rule of three.
8[tex]in[/tex] ----> x
12[tex]in[/tex] ---> 27[tex]in^{2}[/tex]
Since the ratios (figures) are stated to be similar we just solve the rule of three as shown above.
[tex]\frac{(8in)(27in^{2} )}{12in} = x[/tex]
[tex]\frac{216in^{3} }{12in } = x[/tex]
[tex]18in^{2} = x[/tex]
Therefore the Area of figure 1 is 18[tex]in^{2}[/tex]
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
