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?
Use same process.
To determine the area of the actual playground, you need to multiply the area of the scale model by the square of the scale factor. In this case, the scale factor is 3.
So, to find the area of the actual playground, you would calculate:
Area of actual playground = (Area of scale model) x (Scale factor)^2
The area of the scale model is given as 6 square yards. Plugging in the values, we get:
Area of actual playground = 6 x 3^2
= 6 x 9
= 54 square yards
Therefore, the correct answer is 54 square yards, not 18 square yards.