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The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will be 15 feet by 20 feet. Which is the area of the scale model?

48 square feet

60 square feet

120 square feet

300 square feet

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The correct answer is A. 48 square feet

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Scale factor of the model = 1 : 2.5

Measures of the actual patio = 15 and 20 ft

2. Which is the area of the scale model?

If the measures of the scale model are 15 and 20 ft and the scale factor of the model is 1 : 2.5, therefore:

15/20 = (15/2.5) / (20/2.5)

15/20 = 6/8

The measures of the scale model are 6 and 8 ft. Now we can calculate the area of the model, this way:

Area of the model = 6 * 8

Area of the model = 48 square feet

The correct answer is A. 48 square feet