What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 7.5? (1 point)
A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.
Perimeter = 58 cm, area = 209.25 cm2
Perimeter = 58 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 209.25 cm2
The correct answer is:
Perimeter = 58 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 2,700 cm2
original perimeter = 2 * 8 + 2 * 6 =16 + 12 = 28
28 * 7.5 = 210
I apologize for the confusion. You are correct.
If the rectangle is enlarged using a scale factor of 7.5, the perimeter will be 210 cm and the area will be 2,700 cm².
The original perimeter of the rectangle can be calculated using the formula: 2 * length + 2 * width, which in this case is 2 * 8 + 2 * 6 = 16 + 12 = 28 cm.
To find the enlarged perimeter, we multiply the original perimeter by the scale factor: 28 cm * 7.5 = 210 cm.
So, the perimeter of the enlarged rectangle is 210 cm.
The area of the original rectangle is length * width, which in this case is 8 cm * 6 cm = 48 cm².
To find the enlarged area, we multiply the original area by the square of the scale factor: 48 cm² * (7.5)² = 48 cm² * 56.25 = 2,700 cm².
So, the area of the enlarged rectangle is 2,700 cm².