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)

Question

Responses

40
40

160
160

2,500
2,500

250

Answer 1

To find the area of the dilated rectangle, we first calculate the dimensions of the dilated rectangle.

The original rectangle has a length of 10 inches and a width of 4 inches.

When dilated with a scale factor of 2.5:

• New length = 10 inches × 2.5 = 25 inches
• New width = 4 inches × 2.5 = 10 inches

Now, we calculate the area of the dilated rectangle:

Area = length × width = 25 inches × 10 inches = 250 square inches.

Therefore, the area of the dilated rectangle is 250 square inches.