Question

a drawing of a basement uses the same scale as the example. the basement is 28 ft wide and 35 ft long. how wide and long is the drawing? show your work.

Explanation:

Step1: Determine the scale factor

The scale factor from the actual room to the drawing is $\frac{1}{10}$ (since 1 in. represents 10 ft in the example).

Step2: Calculate the width of the drawing

Let $w$ be the width of the drawing. We know that the scale factor formula is $\text{scale factor}=\frac{\text{drawing dimension}}{\text{actual dimension}}$. So, $w = 28\times\frac{1}{10}=2.8$ in.

Step3: Calculate the length of the drawing

Let $l$ be the length of the drawing. Using the scale factor formula, $l = 35\times\frac{1}{10}=3.5$ in.

Answer:

The drawing is $2.8$ inches wide and $3.5$ inches long.