anonymous
  • anonymous
A lawn has area of 64 sq meters. A straight rope is strung from one corner of the rectangle to the midpoint of one of the two more distant sides of the lawn. What is the minimum possible length of this rope? A. 4 m B. 8 m C. 16 m D. 32 m
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
yuki
  • yuki
easy peasy
yuki
  • yuki
if you let x be one side, then 32-x is the other side
yuki
  • yuki
ops, sorry not 32-x it is actually 64/x

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

yuki
  • yuki
then the midpoint of one side will be located at 32/x units from the other corner
yuki
  • yuki
so using the Pythagorean theorem, we can see that \[x^2 + ({32 \over x})^2 \] is the length of the rope
yuki
  • yuki
so what you want to do is to minimize this length
yuki
  • yuki
once you take the derivative of this function and let it = 0, you should find an x that minimize it.
yuki
  • yuki
does that help ?
radar
  • radar
Something seems askew with this solution. \[x ^{2}+(32x ^{-1})^{2}\]being equal to the length as stated above does not seem complete. Wouldn't that be in a radical other the square root of that be the length of the rope??

Looking for something else?

Not the answer you are looking for? Search for more explanations.