Question

the two rectangles below have the same height - to - width ratio. what is the value of w? (if necessary, round your answer to two decimal places.)
21
34
w=
a. 8
b. 1.85
c. 4.86
d. 16

Explanation:

Step1: Set up the proportion

Since the height - to - width ratios are equal, we have $\frac{21}{34}=\frac{3}{w}$.

Step2: Cross - multiply

Cross - multiplying gives $21w = 3\times34$.

Step3: Solve for \(w\)

First, calculate $3\times34 = 102$. Then, $w=\frac{102}{21}\approx4.86$.

Answer:

C. 4.86