Question

Marsha created this scale drawing of a soccer field, using a scale factor of 1 inch: 12 yards.



She wants to make another scale model of the same soccer field, using a scale factor of 1 inch: 6 yards.



Find the length and width of the new scale drawing?

Marsha created this scale drawing of a soccer field, using a scale factor of 1 inch: 12 yards.
She wants to make another scale model of the same soccer field, using a scale factor of 1 inch: 6 yards.
Find the length and width of the new scale drawing.

Diagram contains a rectangular soccer field with length of 9 inches and width of 6 inches.

Question 11 options:

54 inches, 36 inches


4.5 inches, 3 inches


18 inches, 12 inches


1.5 inches, 1 inch.

Answer 1

To find the length and width of the new scale drawing, we can use the relative scale factor. Given that the original scale factor is 1 inch: 12 yards and the new scale factor is 1 inch: 6 yards, we can determine the ratio between the two scale factors.

The ratio between the original and new scale factors is 12 yards/6 yards, which simplifies to 2:1.

Since the length of the original scale drawing is 9 inches, the length of the new scale drawing can be found by multiplying 9 inches by the ratio 2.

9 inches * 2 = 18 inches

Therefore, the length of the new scale drawing is 18 inches.

Similarly, we can find the width of the new scale drawing.

Since the width of the original scale drawing is 6 inches, the width of the new scale drawing can be found by multiplying 6 inches by the ratio 2.

6 inches * 2 = 12 inches

Therefore, the width of the new scale drawing is 12 inches.

Thus, the length and width of the new scale drawing are 18 inches and 12 inches, respectively.

Therefore, the correct answer is 18 inches, 12 inches.