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

Respuesta :

Answer: 54 square yards


Step-by-step explanation:

Given: The area of the scale model of a playground is 6 square yards.

let l be the length and w be the width of the model of playground.

then [tex]l\times w=6[/tex].....(1)

The scale model is enlarged by a scale factor of 3 to create the actual playground.

Then length of playground = 3l

width of playground = 3w

Then the area of the playground=[tex]3l\times3w=9(l\times w)[/tex]

By using (1), we get

The  area of the playground=[tex]9(6)=54\ square\ yards[/tex]

Answer:

C

Step-by-step explanation:

The correct answer is:

C:  54 square yards