Question

a video that you posted shows you preparing an order of nachos. you previewed the video on your rectangular phone screen, which measured 6 centimeters in length by 12 centimeters in width. although the video may be a different size on another device, the proportion of its width to height remains the same. a potential customer views the video on a tablet, which has a larger screen, and the video is displayed as 20 centimeters in length. whats the width of the video on the tablet screen? round to the nearest whole number. 36 cm 26 cm 44 cm 40 cm

Explanation:

Step1: Set up proportion

Since the proportion of width to length remains the same, we have $\frac{w_1}{l_1}=\frac{w_2}{l_2}$. Here, $w_1 = 12$, $l_1=6$, and $l_2 = 20$.

Step2: Substitute values and solve for $w_2$

Substituting into the proportion gives $\frac{12}{6}=\frac{w_2}{20}$. Cross - multiplying, we get $6w_2=12\times20$. Then $6w_2 = 240$, and $w_2=\frac{240}{6}=40$.

Answer:

40 cm