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
I got the answer of 18.Is it correct?
6*3^2 = 54
Since the length is multiplied by 3, and the width is multiplied by 3, the area is multiplied by 9.
18 is not correct
and steve i believe 54 is right
To find the area of the actual playground, you need to use the scale factor to adjust the area of the scale model.
The scale factor is the ratio of the length (or width) of the actual playground to the length (or width) of the scale model. In this case, the scale factor is 3 since the actual playground is enlarged by a scale factor of 3.
Now, let's calculate the area of the actual playground.
The area of the scale model is given as 6 square yards. To find the area of the actual playground, you need to multiply this by the square of the scale factor, which is 3^2 = 9.
Area of actual playground = Area of scale model * (scale factor)^2
Therefore, Area of actual playground = 6 square yards * 9 = 54 square yards.
So, the correct answer is 54 square yards, not 18 square yards.