Q:

Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.A. 6 cm by 1.5 cmB.10 cm by 2 cm C. 13 cm by 4 cmD.18 cm by 4.5 cmE.80 cm by 20 cm

Accepted Solution

A:
Answer:A, D, and EStep-by-step explanation:The ratio between the sides of the rectangle is 12/3 = 4. In a scaled copy of rectangle A, the ratio between the sides needs to be 4 too.For answer A the 6/1.5 = 4, has the same ratio therefore is a scaled version of rectangle AFor answer B the 10/2 = 5, it does not has the same ratio therefore is not a scaled version of rectangle AFor answer C the 13/4 = 3.25, it does not has the same ratio therefore is not a scaled version of rectangle AFor answer D the 18/4.5 = 4, has the same ratio therefore is a scaled version of rectangle AFor answer E the 80/20 = 4, has the same ratio therefore is a scaled version of rectangle A