Question

The two rectangles below have the same height-to-width ratio. What is thevalue of w? (If necessary, round your answer to two decimal places.)21W=OA. 11.33OB. 17OC. 20OD. 4.3234

Answer 1

Solution

- Since the height-to-width ratio of both rectangles are the same, we can solve the question as follows:

$\begin{gathered} \frac{H}{W}=\frac{h}{w} \\ where, \\ H=height\text{ of big rectangle} \\ W=width\text{ of big rectangle} \\ h=height\text{ of small rectangle} \\ w=width\text{ of small rectangle} \\ \\ \text{ Thus, we have:} \\ \frac{21}{34}=\frac{7}{w} \\ \\ \text{ Make w the subject of the formula} \\ w=\frac{34\times7}{21} \\ \\ w=11.333\bar{3} \end{gathered}$

Final Answer

OPTION A