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
See Smith's posts.
To find the area of the scale model, we need to first determine the dimensions of the scale model. We are given that the actual patio is 15 feet by 20 feet, and it will be enlarged by a scale factor of 2.5.
To find the dimensions of the scale model, we can divide the actual dimensions by the scale factor:
Length of scale model = Length of actual patio / Scale factor = 15 feet / 2.5 = 6 feet
Width of scale model = Width of actual patio / Scale factor = 20 feet / 2.5 = 8 feet
Now that we have the dimensions of the scale model, we can calculate the area by multiplying the length and width of the scale model:
Area of scale model = Length of scale model * Width of scale model = 6 feet * 8 feet = 48 square feet
Therefore, the area of the scale model is 48 square feet.