Answer:
Step-by-step explanation:
Gotta work on writing the problem, kida hard to read with the coding text. Anyway, a rectangle with one side of 6 cm and another at 3.5 cm, then rectangle B is proportional to that. Which basically means rectangle B will be multiplied or divided by some number.
To make the concept a little simpler imagine it was a square with sides of length 2. a proportional square twice as big would have lengths of 4 and half as big would have lengths of 1.
In this case we need measurements where one is 6 multiplied or divided by a number x, and then 3.5 has the same action done on it with the same number. so again, twice as big would be 12 and 7 while half as big would be 3 and 1.75 anyway, let's look at the options.
A) 3 and 1.75
B) 5 and 2.5
C) 7 and 7
D) 12 and 5
E) 5.25 and 9
Just to have ti written, the original rectangle is 6 by 3.5
So A is obvious since I used it as an example, this is a proportional rectangle half the size of A.
The rest are harder to check except C. 7 and 7 make a square, but we know the side lengths have to be different, so C is easy to tell it's not right.
B we have to check. Since it's not as obvious as A, we have to check with math more carefully. What do we have to multiply 6 by to get 5? Also, you always want to make the largest side of each rectangle proportional to each other. Anyway, 6 times 5/6 is 5, so for B to be right, 3.5 times 5/6 needs to be equal to 2.5. Does it? Nope, its 2.9166 repeating. So B is not right.
I'm not going to go through so much explanation for the others, if you don't get something let me know.
D we could also know quickly isn't right since I told you the measurements if the rectangle is changed to one with a side length of 12. We would need the other to be 7, so 12 and 5 isn't right.
E is our last possibility, since we need to pick two, but let's check anyway. we need to multiply 6 by 7/8 to get 5.25. 3.5 times 7/8 is 3.0625, so not 9. Good thing we checked here, because only one answer looks to be right. Are you sure you put the right numbers? Or did I misinterpret some?