Question

A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? (5 points)

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
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

Answer 1

Perimeter = 126cm

Area = 972cm^2

Explanation:

6*4.5 = 27

8*4.5 = 36

Perimeter = 27*2+36*2= 126 cm

Area = 27*36 = 972 cm^2

Hope this helped!

Answer 2

Perimeter = 126 cm, area = 972 cm2

Explanation:

Rectangle perimeter:

• P = 2(w + l)

Rectangle area:

• A = wl

When scaled, the perimeter will change by same factor but the area by the square of same factor.

Applying to the given rectangle

Perimeter:

• P = 2(6 + 8)(4.5) = 126 cm

Area:

• A = 6*8*4.5² = 972 cm²

Correct choice is B