To find the area of the dilated rectangle, we first need to calculate the dimensions after dilation.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
When the rectangle is dilated using a scale factor of 2.5, we multiply each dimension by 2.5:
- Dilated Length = 10 inches × 2.5 = 25 inches
- Dilated Width = 4 inches × 2.5 = 10 inches
Now, we can calculate the area of the dilated rectangle:
Area = Length × Width = 25 inches × 10 inches = 250 square inches
So, the area of the dilated rectangle is 250 square inches.
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