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?
Answers
Given : Rectangle A has side lengths of 6 cm and 3.5 cm
The side lengths of rectangle B are proportional to the side lengths of rectangle A.
To Find : 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
Solution :
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
3 cm and 1.75 cm and 5.25 cm and 9 cm could be the side lengths of rectangle B
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