Question

figure a is a scale image of figure b.
diagram: figure a (blue) with side x and base 45; figure b (green) with side 18 and base 27
what is the value of x?
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Explanation:

Step1: Set up proportion for similar figures

Since Figure A is a scale image of Figure B, their corresponding sides are proportional. So, $\frac{x}{18}=\frac{45}{27}$.

Step2: Solve for x

Cross - multiply: $27x = 18\times45$. First, calculate $18\times45 = 810$. Then, divide both sides by 27: $x=\frac{810}{27}=30$.

Answer:

30