Question

Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in tall. her paper is 12 in. wide and 24 in. tall. she decides to use the scale 1 in. = 4in. is this a reasonable scale?

Answer 1

Answer:

No

Step-by-step explanation:

If the painting is 48 in. wide by 120 in tall.

And her paper is 12 in. wide and 24 in. tall.

Using a scale of 1 in. = 4in. will reduce the original image to

48/4 inch X 120/4 inch

=12inch X 30 inch

The height of the reduced painting is greater than the height of the paper.

A more appropriate scale could be

1 in. = 6in. which reduces our painting to:

48/6inch By 120/6inch

=8inch by 20 inch.

This fits on the paper

Answer 2

Answer:

No it is not a reasonable scale. She should use 1 inch= 6 inches.

Step-by-step explanation:

The width of the drawing is 48 inches, dividing it by 4 inches gives 48/4=12 inches.

This is exactly the width of her paper. Which means the drawing will get to the edge.

The height of the drawing is 120 inches,divide by 4inches you get: 120/4=30 inches. The height of paper is 24 inches. Which means her paper is too small to accommodate the height of the drawing. The preferred scale would be 1 inch=6inches.