A scale drawing of a game room is shown below:

What is the area of the actual game room in square feet? Round your answer to the nearest whole number.

56 square feet

Step-by-step explanation:

Here you can set up a couple proportions.

First, let's focus on the length of the actual game room. We know the scale drawing length is 4.5 inches, and we know the scale is 1:30. So, our proportion is: , where x is the actual length we want to find.

Cross-multiplying, we get x = 135 inches. To convert this to feet, we just divide by 12 because there are 12 inches in 1 foot: 135 inches = 135/12 feet = 45/4 ft.

Now, let's look at the width of the actual game room. We know the scale drawing is 2 and the scale is 1:30. We can create another proportion:

, where y is the actual width we want to find.

Cross-multiplying, we get y = 60 inches. To convert this to feet, we divide by 12: 60 inches = 60/12 ft = 5 ft

Now, to find the area, we multiply 5 by 45/4:

5 * (45/4) = 225/4 = 56.25 ≈ 56 square feet

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