Question

Jake has to draw a flag with a length to width ratio of 3 to 2. What is the largest flag Jake can draw on a 25cm by 20 cm sheet of paper?

Answer 1

For this problem, we are given the length to width ratio of a flag. We need to calculate what is the largest flag we can draw on a 25 by 20 cm sheet of paper.

The first step we need to take is to calculate the largest side of the flag, which can't be greater than 25cm, otherwise, it'd not fit on the paper. Therefore we have:

`\text{ length }=25\text{ cm}`

We can create a proportion to find the width, such as:

`\begin{gathered} \frac{\text{ width}}{\text{ length}}=(2)/(3)\\ \\ \frac{\text{ width}}{25}=(2)/(3)\\ \\ \text{ width}=(50)/(3)=16.67 \end{gathered}`

The large flag we can draw on this paper is 25 cm by 16.67 cm large.