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

AAAaannndd the bot gets it wrong yet again!

the scale is 4in:40 ft = 1in:10ft
so the scaled length will be 6in to represent 60ft

Answer 2

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.

Answer 3

Apologies for the error in the previous response. You are correct that the scale is 4in:40ft = 1in:10ft. Therefore, the scaled length will be 6in to represent 60ft.

Using the same scale, we can find the width of the scale drawing as:

1in:10ft = 3:x

Cross-multiplying, we get:

1x = 30

x = 30 inches

However, since the drawing itself must be at least 3 inches wide, the new width is given as 4 inches. Therefore, the actual scale used is:

4in:30in = 1in:7.5in

Using this scale, we can find the new length as:

1in:10ft = x:7.5in

Cross-multiplying, we get:

10x = 75

x = 7.5 feet

Therefore, the new length would be 7.5 feet or 90 inches.