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Rectangle A has side lengths of 6\text{ cm}6 cm6, start text, space, c, m, end text and 3.5\text{ cm}3.5 cm3, point, 5, start text, space, c, m, end text. The side lengths of rectangle B are proportional to the side lengths of rectangle A.
What could be the side lengths of rectangle B?
Choose 2 answers:

Respuesta :

The side lengths of rectangle is 3 cm and 1.75 cm  and  5.25 cm and  9 cm.

According to the statement

we have given that Rectangle A has side lengths of 6 cm  and 3.5 cm

And The side lengths of rectangle B are proportional to the side lengths of rectangle A.

And we have to Find that the What could be the side lengths of rectangle B?

A  3 cm and 1.75 cm

B  5 cm and  2.5 cm

C  7 cm and  7 cm

D  12 cm and  5 cm

E  5.25 cm  and  9 cm

Here we see that the side B are proportional to side length A of rectangle.

So,

Let say sides of rectangle B are  a  and  b  corresponding to sides  6 and 3.5 cm

=> a/6  = b/3.5

=> a/b = 6/3.5

=> a/b  = 12/7

A  3 cm and 1.75 cm    

3/1.75  = 12/7

Hence this is proportional

B  5 cm and  2.5 cm

5/2.5  = 2  ≠ 12/7

Not Proportional

C  7 cm and  7 cm

7/7 = 1 ≠ 12/7

Not Proportional

D  12 cm and  5 cm

12/5   ≠ 12/7

Not Proportional

E  5.25 cm  and  9 cm

9/5.25  = 36/21  = 12/7

Hence this is proportional

So, 3 cm and 1.75 cm   and   5.25 cm and  9 cm  could be the side lengths of rectangle B.

Learn more about Rectangles here https://brainly.com/question/18019422

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