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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Answer 1

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.