Question

A.) What is the scale factor that bring EFGH to TUVW?

B.) What is the area of EFGH?

C.) What is the area of TUVW?

D.) What is the ratio of their areas?

E.) How does your answer for part d compare to your answer from part a?

Answer 1

a) I'm not sure what the answer is, sorry

b) 7.2cm x 4cm = 28.8 cm^2

c) 3cm x5.4cm = 16.2cm^2

d) area of EFGH/are of TUVW --> 28.8/16.2

simplified version is: 14.4/13.1

Answer 2

Explanation:

Given are two pictures of rectangle EFGH to TUVW.

A) scale factor = 4;3 (since the side of TUVW is 4/3 times of sides of EFGH0

B) Area of EFGH =
`7.2(4) = 28.8 cm^2`

C) Area of TUVW =
`5.4(3) = 16.2 cm^2`

D) Ratio of their area =
`(28.8)/(16.2) =(16)/(9)`

E) we find that the ratio of areas is (4/3)^2 i.e. side proportion square.