Question

Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?
Please show all work thank you.

Answer 1

Answer:

The scale is not reasonable .

Step-by-step explanation:

We are given that Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high.

Her paper is 12 in. wide and 24 in. tall.

Scale :  1 in. = 4 in.

Since 1 inch = 4 inch

So, 12 inch = $12\times 4 = 48 inches$

24 inch = $24\times 4 =96 inches$

The given scale is not reasonable because the scale is true for the width but false for the height

Since the actual height is 120 inches and we are getting 96 inches using the given scale .

Hence the scale is not reasonable .

Answer 2

48 / 12 = 4
120 / 24 = 5

This is not a reasonable scale because ratios of tall and wide are not proportional.