Question

Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurements pairs that could be the dimensions of Rectangle B.

A. 6 cm by 1.5 cm
B. 10 cm by 2 cm.
C. 13 cm by 4 cm.
D 18 cm by 4.5 cm
E. 80 cm by 20 cm.
Can you help me get the rights one for my hw

Answer 1

A,D,E

Explanation:

scaled copy means the ratio of the two lengths would be same proportional constant.

The proportionality constant for Rectangle A is:

12/3 = 4

So any scaled version will have this proportionality constant same (4).

let's check:

A) 6/1.5 = 4 (OK)

B) 10/2 = 5 (NOT OK)

C) 13/4 = 3.25 (NOT OK)

D) 18/4.5 = 4 (OK)

E) 80/20 = 4 (OK)

So, correct options are A, D, and E