Question

The length of a stadium is 100 yards and its width is 75 yards. If 1 represents 25 yards, what would be the dimensions of the stadium drawn on a sheet of paper?

Answer 1

75 yards will be represented by 3

100 yards will be represented by 4

Explanation:

Given data:

Length = 100 yards

Width = 75 yards

Scale 1:25

Finding the value that represents 100 yards, simple proportion is used

1 : 25

x : 100

1/x = 25/100

1/x = 1/4

(1/x) *4 = (1/4)*4

(4/x) * x = 1 * x

4 = x

100 yards is represented by 4

Finding the value that represents 75 yards, simple proportion is used

1 : 25

x : 75

1/x = 25/75

1/x = 1/3

(1/x) * x = (1/3) *x

1 * 3= (x/3) *3

3 = x

75 yards is represented by 3