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

The area of the actual playground is 54 square yards

Step-by-step explanation:

In this question, we are tasked with calculating the area of the actual playground given that the scale model is enlarged by a factor of 3.

Firstly, we need to calculate the length of the sides of the scale model;

Mathematically,

Area of a square =

Now, we have then area as 6 , putting this into the equation, we have

6 =

⇒L =   yards

Now, since the model length is enlarged by a factor of 3, this means the length of  the side of the real actual playground will be 3 × = 3  yards

The area of the actual play ground is thus 3   × 3   = 9 × 6 = 54 square yards

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length