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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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User Amistad
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1 Answer

5 votes

Answer:

The correct answer is A. 48 square feet

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

User Omerio
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