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mario was given the following enlargement. what is the length of side a…

Question

mario was given the following enlargement. what is the length of side a, in centimeters? 12 15 24 33

Explanation:

Step1: Find the scale - factor

The scale - factor is found by comparing the corresponding non - parallel sides. The ratio of the larger non - parallel side to the smaller non - parallel side is $\frac{12}{6}=2$.

Step2: Set up a proportion for side A

Let the length of side A be $x$. We set up the proportion $\frac{30}{x}=\frac{12}{6}$. Cross - multiplying gives $12x = 30\times6$.

Step3: Solve the equation

$12x=180$, then $x=\frac{180}{12}=15$.

Answer:

15