Question
A rectangle measures 4 inches by 10 inches. It is dilated using a scale factor of 2.5. What is the area in square inches of the dilated rectangle?(1 point)
Responses
40
40
160
160
2,500
2,500
250
Responses
40
40
160
160
2,500
2,500
250
Answers
GPT-4o mini
To find the area of the dilated rectangle, we first calculate the dimensions of the dilated rectangle.
The original rectangle has a length of 10 inches and a width of 4 inches.
When dilated with a scale factor of 2.5:
- New length = 10 inches × 2.5 = 25 inches
- New width = 4 inches × 2.5 = 10 inches
Now, we calculate the area of the dilated rectangle:
Area = length × width = 25 inches × 10 inches = 250 square inches.
Therefore, the area of the dilated rectangle is **250 square inches**.
The original rectangle has a length of 10 inches and a width of 4 inches.
When dilated with a scale factor of 2.5:
- New length = 10 inches × 2.5 = 25 inches
- New width = 4 inches × 2.5 = 10 inches
Now, we calculate the area of the dilated rectangle:
Area = length × width = 25 inches × 10 inches = 250 square inches.
Therefore, the area of the dilated rectangle is **250 square inches**.