Question
A rectangle mesaures 5 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
312.5
312.5
250
250
50
50
100
100
278.3
Responses
312.5
312.5
250
250
50
50
100
100
278.3
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the area of the dilated rectangle, first determine the dimensions after applying the scale factor of 2.5.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 5 inches
After dilation:
- New Length = 10 inches × 2.5 = 25 inches
- New Width = 5 inches × 2.5 = 12.5 inches
Now, calculate the area of the dilated rectangle:
Area = Length × Width = 25 inches × 12.5 inches
Area = 312.5 square inches
Therefore, the area of the dilated rectangle is **312.5 square inches**.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 5 inches
After dilation:
- New Length = 10 inches × 2.5 = 25 inches
- New Width = 5 inches × 2.5 = 12.5 inches
Now, calculate the area of the dilated rectangle:
Area = Length × Width = 25 inches × 12.5 inches
Area = 312.5 square inches
Therefore, the area of the dilated rectangle is **312.5 square inches**.
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