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Amelia drew a scale drawing of a campsite. She used the scale 9 inches : 4 feet. The tent is 8 feet wide in real life. How wide is the tent in the drawing? inches

Question

Amelia drew a scale drawing of a campsite. She used the scale 9 inches : 4 feet. The tent is 8 feet wide in real life. How wide is the tent in the drawing? inches

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Solution

To solve this problem, we need to set up a proportion to find the width of the tent in the drawing.

Step 1: Set up the proportion.

The scale is 9 inches (in the drawing) : 4 feet (in real life). We know that the tent is 8 feet wide in real life, and we want to find out how wide it is in the drawing (in inches).

So, we set up the proportion like this:

9 inches / 4 feet = X inches / 8 feet

Step 2: Solve the proportion.

To solve for X, we cross-multiply:

9 inches * 8 feet = 4 feet * X inches

Step 3: Simplify.

72 feet = 4X

Step 4: Solve for X.

X = 72 feet / 4 = 18 feet

However, we need the answer in inches, not feet. Since 1 foot = 12 inches, we convert 18 feet to inches:

18 feet * 12 inches/foot = 216 inches

So, the tent is 216 inches wide in the drawing.

This problem has been solved

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