To find the area of the dilated rectangle, we first need to determine the new dimensions after the dilation.
The original dimensions of the rectangle are:
- Width = 4 inches
- Length = 10 inches
Using a scale factor of 2.5, we can calculate the new dimensions:
- New Width = 4 inches × 2.5 = 10 inches
- New Length = 10 inches × 2.5 = 25 inches
Now, we can find the area of the dilated rectangle using the formula for the area of a rectangle (Area = Width × Length):
\[ \text{Area} = 10 \text{ inches} \times 25 \text{ inches} = 250 \text{ square inches} \]
Thus, the area of the dilated rectangle is 250 square inches.
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