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
2,500
2,500
40
40
250
250
160
Responses
2,500
2,500
40
40
250
250
160
Answers
GPT-4o mini
To find the area of the dilated rectangle, we first need to calculate the dimensions of the dilated rectangle using the scale factor.
1. The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
2. The scale factor is 2.5.
- Dilated Length = 10 inches × 2.5 = 25 inches
- Dilated Width = 4 inches × 2.5 = 10 inches
3. Now, we can find the area of the dilated rectangle:
- Area = Dilated Length × Dilated Width
- Area = 25 inches × 10 inches = 250 square inches
Therefore, the area of the dilated rectangle is **250 square inches**.
1. The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
2. The scale factor is 2.5.
- Dilated Length = 10 inches × 2.5 = 25 inches
- Dilated Width = 4 inches × 2.5 = 10 inches
3. Now, we can find the area of the dilated rectangle:
- Area = Dilated Length × Dilated Width
- Area = 25 inches × 10 inches = 250 square inches
Therefore, the area of the dilated rectangle is **250 square inches**.