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 my answer correct?
Are you Keon or Smith or both? If both, only use one address. See Smith's answers.
3^2 * 6 = 9*6 = 54
No, your answer is not correct. Let me explain how to solve this problem and find the correct answer.
To find the area of the actual playground, we need to first calculate the area of the scale model of the playground. We are given that the area of the scale model is 6 square yards.
Next, we need to determine the scale factor by which the scale model is enlarged to create the actual playground. In this case, the scale factor is given as 3.
To find the area of the actual playground, we need to multiply the area of the scale model by the square of the scale factor. In this case, the area of the actual playground can be calculated as:
Area of actual playground = (Area of scale model) * (Scale factor)^2
Plugging in the values, we get:
Area of actual playground = 6 * (3)^2
Area of actual playground = 6 * 9
Area of actual playground = 54 square yards
Therefore, the correct answer is 54 square yards.
Your answer of 18 is incorrect because it seems like you just multiplied the scale factor (3) by the area of the scale model (6) instead of squaring it.