College Algebra

A rectangular garden is 20 ft longer than it is wide. Its area is 8000 ft{}^2. What are its dimensions?

w(w+20) = 8000
w^2+20w = 8000
w^2+20w-8000 = 0
(w-80)(w+100) = 0

w-80 = 0
w=80

or

w+100 = 0
w = -100

I think that x=80 makes more sense. However what would the length be if the width is equal to 80 in this problem ? please help Im stuck and am not sure what the final answer for this question would be.

  1. 👍 0
  2. 👎 0
  3. 👁 194
  1. Excuse me? You already know that the length is 20 more than the width.

    So, if the width is 80, the length is 100.

    Sure enough, 80*100 = 8000

    Or, since you know the width is 80, and area = length*width

    8000 = 80 * length
    length=100

    Don't forget your algebra I now that you're taking college algebra.

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. Thank You. I guess I was over thinking the problem a bit!lol It's my first semester and everything's so new.

    Thanks so much again

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. college algebra

    A rectangular garden is 20 ft longer than it is wide. Its area is 8000 ft{}^2. What are its dimensions? Let "w" equal the width w+20=8000 w^2+20=8000 not sure how to continue

    asked by Anonymous on June 2, 2014
  2. math

    A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 ft2. 2.A rectangular garden is 2 ft longer than it is wide. Its area is 783 ft2. What are its

    asked by monae on September 1, 2012
  3. Algebra

    Leo's garden, which is 6m wide, has the same area as Jen's garden, whichis 8m wide. Find the length of the two rectangular gardens if Leo's garden is 3m longer than Jen's garden.

    asked by Stephanie on September 24, 2013
  4. math

    A rectangular garden is 6m longer than it is wide. Find the dimensions of the garden if its area is 520m"?

    asked by kledi on February 6, 2014
  5. Math

    A rectangular plot of land that has an area of 1200 sq. ft, will hold a rectangular garden whose length is 8' more than twice the width, and will be bordered by a 3' wide sidewalk for pedestrians. Write a function that describes

    asked by Sara on September 23, 2018
  1. 8th grade algebra

    the length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide-sidewalk. The sidewalk has an area of 76 square feet. Find the dimensions of the garden

    asked by val on February 11, 2010
  2. math

    Joannies garden is in the shape of a square and has an area of 100 sq ft. Zacharys garden is rectangular. Its length is 3 times as long as Joannies garden but only half as wide. Zachary garden has an area of ______ sq.ft.

    asked by nisrin on December 17, 2013
  3. math

    Joannies garden is in the shape of a square and has an area of 100 sq ft. Zacharys garden is rectangular. Its length is 3 times as long as Joannies garden but only half as wide. Zachary garden has an area of ______ sq.ft I didn't

    asked by nisrin on December 17, 2013
  4. math

    A rectangular garden plot 16m by 24m is to bordered by a strip of uniform width X m wide on the outside, so as to double the area, find the new length and breadth of the rectangular garden

    asked by kartik on May 27, 2016
  5. algebra1 Help pleASE

    A gardener wants to create a rectangular vegetable garden in a backyard. She wants to have a total area of 13 square feet, and it should be 12 feet longer than it is wide. What dimensions should she use for the vegetable garden?

    asked by lisa on July 4, 2013

More Similar Questions