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?
It is your turn to apply the concepts that both Steve and I just gave you in two previous posts of the same style of question.
To find the area of the actual playground, we need to know the area of the scale model and the scale factor. In this case, the area of the scale model is given as 6 square yards, and the scale factor is 3.
To find the area of the actual playground, we need to square the scale factor and multiply it by the area of the scale model. Squaring the scale factor means multiplying it by itself. In this case, 3 squared equals 9.
So, to find the area of the actual playground, we multiply the area of the scale model (6 square yards) by the squared scale factor (9):
Area of actual playground = Area of scale model x Scale factor^2
Area of actual playground = 6 square yards x 9
Area of actual playground = 54 square yards
Therefore, the area of the actual playground is 54 square yards.