46.4k views
3 votes
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

2 Answers

5 votes
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
User Blakelead
by
8.1k points
4 votes

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

User GrigorisG
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories