Question

Eric wants to create a scale drawing of a house. The house is 60 feet long and 40 feet wide. The scale drawing needs to fit on a piece of paper that is 6 inches wide. The drawing itself must be at least 3 inches wide. If the new width is 4 inches. How many inches would the new length be? Enter only the numerical information with no label.

Answer 1

6:60 = 1:10 (scale factor for length)

Let x be the new length.

1:10 = 3:x-3 (scale factor for width)

Solving for x, we get:

1/10 = 3/(x-3)

3x - 9 = 10

3x = 19

x = 6.33 inches (rounded to two decimal places)

Therefore, the new length would be 6.33 inches.