Question

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

Answer 1

C

Explanation:

The correct answer is:

C: 54 square yards

Answer 2

Answer: 54 square yards

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
`l* w=6`.....(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=
`3l*3w=9(l* w)`

By using (1), we get

The area of the playground=
`9(6)=54\ square\ yards`