Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

needhelpinmath

Someone please help me. Solve Holly has a rectanglar garden that measures 12m by 14m. She wants to increase the area to 255m by increasing the width and length by the same amount. What will be the dimensions of the new garden?

  • one year ago
  • one year ago

  • This Question is Closed
  1. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    lets call the number we increase by \(x\) so we already have an area of \(12\times 14=168\) and we want to increase it to 255 so we need \((12+x)(14+x)=255\) and we have to solve for x

    • one year ago
  2. mubzz
    Best Response
    You've already chosen the best response.
    Medals 1

    The current area is 12*14 = 168m square Let 'x' be the dimension she increases the width and lengths by, the new dimensions will be (12+x) and (14+x) and when you multiply these two, you should get 255 (12+x)(14+x) = 255 x^2 + 26x -87 = 0 Solve this quadratic equation and you get x= 3 and x=-29 Since length dimensions cannot be negative, we ignore -29 and follow up with x=3 The new dimensions of garden will be 15m by 17m You can verify answer by calculating new area = (15*17) = 255m

    • one year ago
  3. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    what mubzz said

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

    How did you get 15 and 17?

    • one year ago
  5. mubzz
    Best Response
    You've already chosen the best response.
    Medals 1

    When we solved the quadratic equation, we got the values of x as 3 and -29. As I mentioned, we will ignore -29 and go with x=3 Our original dimensions were 12 by 14. 'x' is the increase in these dimensions, therefore the new dimensions will be 12+x and 14+x. Replacing x by 3 gives us 15 by 17. Does that clear things?

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

    O thanks now i get it silly me :P

    • one year ago
    • Attachments:

See more questions >>>

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.