Question

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch = 3 feet. What is the area, in square feet, of the room? 248 Enter your response here: Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or a decimal.

Answer 1

We have that the scale is 1inch:3feet, and that the sides of the rectangle are 8 inches and 6 inches:

We convert the inches into the original scale by multiplying each side by 3 feet:

`s_1=8inches\cdot\frac{3\text{feet}}{1\text{inch}}\Rightarrow s_1=24\text{feet}`
`s_2=6\text{inches}\cdot\frac{3\text{feet}}{1\text{inch}}\Rightarrow s_2=18\text{feet}`

Now that we have the original measurements, we determine the area of the rectangle by replacing the values previously calculated in the following funtion:

`A=s_1\cdot s_2\Rightarrow A=432`

From this, we have that the area of the room is 432 feet^2