rectangle r is a scaled copy of rectangle q. what is the value of x?
rectangle r is a scaled copy of rectangle q. what is the value of x?
Answer
Explanation:
Step1: Set up proportion
Since the rectangles are scaled - copies, the ratios of corresponding sides are equal. So, $\frac{30}{x}=\frac{15}{9}$.
Step2: Cross - multiply
Cross - multiplying gives $15x = 30\times9$.
Step3: Simplify right - hand side
$30\times9=270$, so $15x = 270$.
Step4: Solve for x
Dividing both sides by 15, $x=\frac{270}{15}=18$.
Answer:
18