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
250
250
160
160
2,500
2,500
40
Responses
250
250
160
160
2,500
2,500
40
Answers
GPT-4o mini
To find the area of the dilated rectangle, we first need to determine the new dimensions after dilation.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
When we apply a scale factor of 2.5, we multiply both dimensions by this scale factor:
New Length = 10 inches × 2.5 = 25 inches
New Width = 4 inches × 2.5 = 10 inches
Now, we can calculate the area of the dilated rectangle:
Area = Length × Width
Area = 25 inches × 10 inches = 250 square inches
Therefore, the area of the dilated rectangle is **250 square inches**.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
When we apply a scale factor of 2.5, we multiply both dimensions by this scale factor:
New Length = 10 inches × 2.5 = 25 inches
New Width = 4 inches × 2.5 = 10 inches
Now, we can calculate the area of the dilated rectangle:
Area = Length × Width
Area = 25 inches × 10 inches = 250 square inches
Therefore, the area of the dilated rectangle is **250 square inches**.