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 40 40 160 160 250 250 2,500
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GPT-4o mini
To find the area of the dilated rectangle, we first need to determine the new dimensions after dilation using the scale factor of 2.5.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
After dilation:
- 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:
\[
\text{Area} = \text{Length} \times \text{Width} = 25 \, \text{inches} \times 10 \, \text{inches} = 250 \, \text{square inches}
\]
Thus, the area of the dilated rectangle is **250 square inches**.
The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches
After dilation:
- 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:
\[
\text{Area} = \text{Length} \times \text{Width} = 25 \, \text{inches} \times 10 \, \text{inches} = 250 \, \text{square inches}
\]
Thus, the area of the dilated rectangle is **250 square inches**.
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