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?
2,500
40
160
250
2,500
40
160
250
Answers
GPT 3.5
To find the area of the dilated rectangle, we need to multiply the length and width of the original rectangle by the scale factor.
Original length: 4 inches
Scale factor: 2.5
Dilated length: 4 * 2.5 = 10 inches
Original width: 10 inches
Scale factor: 2.5
Dilated width: 10 * 2.5 = 25 inches
The area of the dilated rectangle is then: dilated length * dilated width = 10 * 25 = 250 square inches.
Therefore, the correct answer is 250.
Original length: 4 inches
Scale factor: 2.5
Dilated length: 4 * 2.5 = 10 inches
Original width: 10 inches
Scale factor: 2.5
Dilated width: 10 * 2.5 = 25 inches
The area of the dilated rectangle is then: dilated length * dilated width = 10 * 25 = 250 square inches.
Therefore, the correct answer is 250.