Asked by Dave
A rectangle has side lengths of 5 centimeters and 3 centimeters. if the side lengths are doubled, will the area also doubal? Explain
Answers
Answered by
Reiny
No, the area of similar shapes is proportional to the square of the corresponding sides
So 2:1 ----> 2^2 : 1^2 = 4 : 1
The area would be 4 times as large, or quadrupled.
Proof:
area of original = 5*3 = 15
new sides are 10 and 6
new area = 10*6 = 60
and 60 = 4 times 15
So 2:1 ----> 2^2 : 1^2 = 4 : 1
The area would be 4 times as large, or quadrupled.
Proof:
area of original = 5*3 = 15
new sides are 10 and 6
new area = 10*6 = 60
and 60 = 4 times 15
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.