A scale drawing of a game room is shown below: A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 4.5 inches. The scale is 1 to 30. What is the area of the actual game room in square feet? Round your answer to the nearest whole number.

The area of the actual game room is 56 square feet.

Step-by-step explanation:

Given:

The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 4.5 inches. The scale is 1 : 30.

Now, to find the actual area of the actual game room in square feet.

Let the actual length be

And let the actual width be

So, as the scale is 1 : 30.

And, the length labeled is 2 inches and the width labeled is 4.5 inches.

If, 1 is equivalent to 30.

Thus, 2 is equivalent to

Now, to get the actual length by using cross multiplication method:

By cross multiplying we get:

Therefore, the actual length is 60 inches.

Now, to get the actual width we again use cross multiplication method:

If, 1 is equivalent to 30.

So, 4.5 is equivalent to

By cross multiplying we get:

Hence, the actual width is 135 inches.

Now, to get the area of the actual game room in square feet:

We convert the length and width of actual room in feet by using conversion factor:

12 inches = 1 feet.

60 inches =

135 inches =

Thus, the actual length of room is 5 feet and the actual width is 11.25 feet.

So, we put formula to get the actual area of the room by using formula:

Rounding the area in to whole number is 56 square feet.

Therefore, the area of the actual game room is 56 square feet.

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