The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the actual playground. What is the area of the actual playground?
18 square yards
54 square yards
108 square yards
324 square yards
Use process shown in previous post.
18
54 square yards
To find the area of the actual playground, we first need to find the area of the scale model and then use the scale factor to find the area of the actual playground.
Given that the area of the scale model is 6 square yards, we can multiply this area by the square of the scale factor to find the area of the actual playground.
First, let's calculate the scale factor squared:
Scale factor squared = 3^2 = 9
Now, multiply the scale factor squared by the area of the scale model:
Area of the actual playground = 9 * 6 square yards
Calculating the area, we get:
Area of the actual playground = 54 square yards
Therefore, the correct answer is 54 square yards.