Question

Lacey made a scale drawing of the middle school. The scale of the drawing was 5 inches : 2 feet. If the gym is 170 inches wide in the drawing, how wide is the actual gym?
feet

Answer 1

First, we need to convert the scale ratio from inches to feet. Since 1 foot is equal to 12 inches, we can divide both sides of the ratio by 12 to convert inches to feet:

5 inches : 2 feet
(5 inches) / (12 inches/foot) : (2 feet) = 5/12 feet : 2 feet

Now we can set up a proportion to find the actual width of the gym:

(5/12 feet) / 170 inches = X feet / 1
X = (5/12 feet) * (1 / 170 inches)
X = 5/2040 feet
X = 0.00245 feet

So the actual width of the gym is approximately 0.00245 feet.

Answer 2

Are you sure?

Answer 3

Apologies for the confusion. Let's redo the calculation correctly.

The scale ratio is 5 inches : 2 feet.

To convert 170 inches to feet, we divide by 12 (since there are 12 inches in a foot):

170 inches / 12 = 14.17 feet (rounded to two decimal places)

Now, we can set up a proportion to find the actual width of the gym:

5 inches / 2 feet = 170 inches / X feet

Cross multiplying gives us:

5 inches * X feet = 2 feet * 170 inches

Simplifying, we get:

5X = 340

Dividing both sides by 5:

X = 68

Therefore, the actual width of the gym is 68 feet.