Question

A print shop manager is using the scale drawing shown below to make a rectangular banner. The scale from the banner to the drawing is 2 ft to 1 in. 3.5 in. 7.25 in. what is the area of the actual banner

Answer 1

The scale is 2ft to 1in. It means that every inch on the draw represents 2ft of the actual banner. So, we can calculate the actual measures using the rule of three as:

2 ft ----------- 1 in

X ----------- 3.5 in

2 ft ------------ 1 in

Y ------------ 7.25 in

Where X and Y are the measures of the actual banner. Solving for X and Y, we get:

`\begin{gathered} X=\frac{2\text{ ft}\cdot3.5\text{ in}}{1\text{ in}}=7\text{ ft} \\ Y=\frac{2\text{ ft}\cdot7.25\text{ in}}{1\text{ in}}=14.5\text{ ft} \end{gathered}`

Finally, the area of the actual banner is:

`\text{Area}=X\cdot Y=7\text{ ft}\cdot14.5ft=101.5ft^2`

Answer: 101.5 ft^2