Question

Did you know the dimensions of a soccer field are not always the same, like an American football field, or basketballcourt? A youth soccer field can range from 15 to 100 yards wide, depending on the age and number of players. Aprofessional field, that falls within FIFA regulations, can range between 70 and 80 yards wide. The lengths can rangeas much as 30 to 130 yards for youth, and 110 to 120 yards for the pros. That means an athlete who grows upplaying soccer can end up playing on a field four times larger than when they were a kid!Which of the following answer choices gives an expression for determining a soccer field's perimeter afterquadrupling its length, l, and width, w?Select ALL that apply.

Answer 1

This problem is about the perimeter of a soccer field, which is a rectangular figure. The perimeter of a rectangle is defined as

`P=2(w+l)`

Where w refers to width and l refers to length.

Now, to find the perimeter of a field with quadruple dimensions, we just have to add the factor 4 to each dimension.

`P=2(4w+4l)`

Which gives

`P=8w+8l=8(w+l)`

So, all the right answers must match this answer, that is, a sum between dimensions.

Therefore, the right answers are C, D, E, and F. All of them are equal to 8(w+l).