Question

Trevor drew a scale drawing of a neighborhood park. The scale he used was 1 inch : 3 yards. A soccer field in the park is 90 yards long in real life. How long is the field in the drawing?

Answer 1

30 inches

Explanation:

1 inch : 3 yards means

1 inch in paper (drawing) is 3 yards in actual life

We can setup a simple ratio and solve this problem.

1 inch is 3 yards, so how many inch is 90 yards?

This is the question.

We set up 2 fractions (one for ratio and another for actual) and equate, cross multiply and solve:

The left side fraction would be the ratio, that is:

1/3

THe right side fraction would be the actual, that is:

x inches (let it be x, we want to find x)

90 yards

SO we can write and solve:

`(1)/(3)=(x)/(90)\\3x=90*1\\3x=90\\x=(90)/(3)\\x=30`

Hence,

The field is 30 inches in the drawing