Answer:
D. the length is 18 inches and the width is 9 inches.
Explanation:
Given information:
- Scale = 1 : 15.
- Dimensions of the lawn in the scale drawing = 6 in × 3 in.
Therefore, to find the actual dimensions of the lawn, multiply the given scale dimensions by 15:
⇒ Length = 6 × 15 = 90 in
⇒ Width = 3 × 15 = 45 in
If the gardener's partner plans to make another scale drawing of the lawn with a different scale of 1 : 5, to find the dimensions of his scale drawing, divide the actual dimensions by 5:
⇒ Length = 90 ÷ 5 = 18 in
⇒ Width = 45 ÷ 5 = 9 in
Therefore, the dimensions of his scale drawing are the length is 18 inches and the width is 9 inches.
An alternative way to approach this problem is to calculate the difference between the two scales. It is clear that the original scale of 1 : 15 is 3 times the new scale of 1 : 5. Therefore, simply multiply the original dimensions by 3 to find then new dimensions of the scale drawing with a scale of 1 :5.