What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.
(5 points)
Group of answer choices
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2
To find the perimeter and area of the rectangle after enlarging it by a scale factor of 4.5, we need to multiply the original dimensions by the scale factor.
New length: 8 cm * 4.5 = 36 cm
New width: 6 cm * 4.5 = 27 cm
Perimeter = 2(length + width)
Perimeter = 2(36 cm + 27 cm)
Perimeter = 2(63 cm)
Perimeter = 126 cm
Area = length * width
Area = 36 cm * 27 cm
Area = 972 cm^2
Therefore, the correct answer is:
Perimeter = 126 cm
Area = 972 cm^2
So, the correct answer is Perimeter = 126 cm, area = 972 cm2.