# evaluating a math question

a Rectanglular pen for a pet is 5 feet longer than it is wide. give possible values for the width W of the pen if its area must be between 176 and 760 square feet inclusively. The width of the pen ranges from the smaller value of the width--- feet, to the larger value of the width , ----feet , inclusively.

1. 👍 0
2. 👎 0
3. 👁 169
1. w(w+5) = 176
w^2 + 5 w - 176 = 0
(w -11)(w+16) = 0
w = 11

w^2 + 5 w = 760
w^2 + 5 w - 760 = 0
use quadratic equation
w = 25.18, 30.18 or 25.18 for width

so
smaller is 11 and bigger is 25.18

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

You have 700 ft of fencing to make a pen for hogs. If you have a river on one side of your property, what are the dimensions (in ft) of the rectangular pen that maximize the area? shorter side longer side

asked by Meghan on April 7, 2018
2. ### math

a rectangular pen is to be constructed alongside a barn using 120 feet of fencing. the barn will be used for one side of the pen. What should the dimensions of the pen be to maximize its area. ***Can not use calculus. This is a

asked by craig on September 28, 2011
3. ### Math

Clark's Country Pet Resort is fencing a new play area for dogs. The manager has purchased 186 yd of fence to enclose a rectangular pen. The area of the pen must be 2156 yds^2. What are the dimensions of the​ pen? Length is how

asked by Jason on November 15, 2016
4. ### math

A rectangle is 7 feet longer than it is wide. If its area is 120 square feet, find its length and width. Represent this situation as an equation and solve.

asked by amy on March 17, 2014
1. ### Math asap

2.David wants to build a pen for his goat. He wants the area of the pen to be 48 square feet. If the length and width of the pen are whole numbers, which of the following could be the perimeter of the pen? A.P = 26 ft B.P = 28 ft

asked by Jeanie Troy on May 6, 2016
2. ### Geometry

A rectangular patio is 8 feet longer than it isi wide The area of the patio is 84 square feet. What are the dimensions of the patio

asked by Anonymous on April 9, 2016
3. ### math

david wants to build a pen for his goat. he wants the area of the pen to be 48 square feet. if the length and width of the pen are whole numbers, which of the following could be the perimeter of the pen - p = 26 ft - p = 28 ft - p

asked by little dark one on March 10, 2016
4. ### PRE-CALC

A large painting in the style of Rubens is 3 feet longer than it is wide. If the wooden frame is 12 in wide and the area of the picture frame is 208 ft^2, find the dimensions of the painting. So I know the width would be x and the

asked by Muffy on October 16, 2009
1. ### Geometry

A farmer wants to fence in a rectangular pen using the wall of a barn for one side of the pen and 115 feet of fencing for the remaining 3 sides. What dimensions will give her the maximum area for the pen?

asked by Jammy on October 30, 2012
2. ### calculus?

I want a rectanglular pen with area = 50 square feet and to save on fencing I will build it next to the garage. How should I design it so I use the least amount of fence-only 3 sides will be needed next to the garage. How can I

asked by lola on July 14, 2012
3. ### Math

A roll of carpet 9 feet wide is 30 feet longer than a roll of carpet 15 feet wide. Both rolls have the same area. Find the dimensions of each.

asked by Mike on October 9, 2009
4. ### Math

Manuel wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Manuel has 750 feet of fencing, what dimensions would maximize the

asked by Jason Q. on September 2, 2014
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.jiskha.com/questions/561286/a-rectanglular-pen-for-a-pet-is-5-feet-longer-than-it-is-wide-give-possible-values-for", "fetch_time": 1596836436000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2020-34/segments/1596439737225.57/warc/CC-MAIN-20200807202502-20200807232502-00214.warc.gz", "warc_record_offset": 735811540, "warc_record_length": 5876, "token_count": 1057, "char_count": 3656, "score": 3.984375, "int_score": 4, "crawl": "CC-MAIN-2020-34", "snapshot_type": "latest", "language": "en", "language_score": 0.9420546293258667, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00047-of-00064.parquet"}