Asked by Jane
A walking path is shaped like a rectangle with a width 7 times its length "l". What is a simplified expression for the distance between opposite corners of the walking path?
Answers
Answered by
Wayne
Did you draw a picture? The distance between opposite corners of the walking path (rectangle, in this case) would be the hypotenuse of a right triangle. Thus, we can use the Pythagorean Theorem: HYP^2 = leg^2 + leg^2
Let x = length; 7x = width, so
HYP^2 = x^2 + (7x)^2
HYP^2 = x^2 + 49x^2
faactor out x^2:
HYP^2 = x^2 * (1+49)
HYP^2 = X^2 * 25 * 2
square root both sides
HYP = 5x * sqrt(2)
Let x = length; 7x = width, so
HYP^2 = x^2 + (7x)^2
HYP^2 = x^2 + 49x^2
faactor out x^2:
HYP^2 = x^2 * (1+49)
HYP^2 = X^2 * 25 * 2
square root both sides
HYP = 5x * sqrt(2)
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.