A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

The length of a rectangular sign is 3ft longer than the width. If the signs area is 54 square ft, find its length and width.

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1441133780483:dw|

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We don't know the length or the width, but we do know something about the length in terms of the width. "The length of a rectangular sign is 3ft longer than the width." This suggests we should pick a variable to represent the width. Then we will write an expression for the length in terms of the width.

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let the width be w. Since the length is 3 ft longer than the width, what is the length in terms of w?

  4. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1441133962071:dw|

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The length is w + 3 |dw:1441134192865:dw|

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now use the length and width, w, and w + 3, to write an expression for the area. Area of rectangle = length * width. Then set the area expression equal to the given area, 54. Solve the equation for w, and that is the width. Add 3 to the width to find the length.

  7. 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.