Question

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 7.5?

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

Answer 1

enlarged by a scale factor of x means times each dimention by x

P=2(L+W)
A=LW

original L and W
L=8cm
W=6cm

new
nL=8*7.5=60cm
nW=6*7.5=45cm

newP=2(60+45)=2(105)=210cm
newA=(60)(45)=2700cm^2


3rd from top is answer

Answer 2

Answer with Step-by-step explanation:

The perimeter(P) and area(A) of a rectangle is given by:

P=2(l+w)

A=lw

Where l is the length and w is is the width of the rectangle

original length and width

l=8 cm

w=6 cm

New length and width

l'=8×7.5=60 cm

w'=6×7.5=45 cm

P=2(60+45)

=210 cm

Area=60×45

=2700 cm²

Hence, Correct option is:

Perimeter = 210 cm, Area = 2,700 cm²