Question

Sara is making a scale drawing of a painting that is 48 inches wide by 120 inches. Her paper is 12 inches wide and 24 inches tall. She decides to use a scale of 1 in = 4 in is this a reasonable scale?

Answer 1

Given:

The dimensions of the painting are 48 inches wide and 120 inches tall.

The dimensions of the paper are 12 inches wide and 24 inches tall.

To check: Its scale is 1 in = 4 in or not

Explanation:

We know that,

The scale value of the length is,

$\begin{gathered} Scale=\frac{12}{48} \\ =\frac{1}{4} \end{gathered}$

The scale value of the height is,

$\begin{gathered} Scale=\frac{24}{120} \\ =\frac{1}{5} \end{gathered}$

Since the ratio does not match the height ratio.

So, the scale of 1 in = 4 in is not a reasonable scale.

Final answer:

No, the scale of 1 in = 4 in is not a reasonable scale.