Question

find the unknown in the figure. a. 3 b. 6 add t

Explanation:

Step1: Set up proportion

Since the two rectangles are similar, the ratios of their corresponding sides are equal. So we have $\frac{9}{x}=\frac{15}{5}$.

Step2: Cross - multiply

Cross - multiplying gives us $15x = 9\times5$.

Step3: Simplify right - hand side

$9\times5=45$, so the equation becomes $15x = 45$.

Step4: Solve for x

Dividing both sides of the equation by 15, we get $x=\frac{45}{15}=3$.

Answer:

$3$