A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

the length of a new playing field is 7 yards longer than quadruple the width. if the perimeter of the rectangle playing field is 494 yards, what are the dimensions?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So you're looking at the following: -------------------------- - - W - - - - -------------------------- L Where L is the length of the rectangle and W is the width, right? It says that the width is equal to 7 longer than 4 times the width, so the length is: L = 4W + 7 And that the perimeter is 494 yards. The perimeter for a rectangle is: P = 2L + 2W, and since we know L and P, we can plug them in, like so: 494 yards = 2(4W+7) + 2W. Now we solve for W. 494 yards = (8W + 14) + 2W which is equal to 10W + 14. 494 yards = 10W + 14 (subtract the 14 across and divide by ten and we'll get the width!) W = 48. Now we know that L = 4W+7, and W = 48, so L = 4(48) + 7 = 192+ 7 = 199 so the length is 199 yards and the width is 48 yards. You can verify this by using the perimeter formula to see if 494 = 2(48) + 2(199) and it does. Hope this helps!

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Sorry that the rectangle got messed up! It didn't print the spacing properly, haha.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.