##### What is the ratio of the corresponding side lengths

 Mathematics Tutor: None Selected Time limit: 1 Day

The areas of corresponding faces of 2 similar pentagonal prisms are 49 inches squared and 25 inches squared.

May 17th, 2015

You are given the areas of the pentagonal prism faces. They are 49 in^2 and 25 in^2. The area of a pentagon is (1/4)(the square root of (5(5+2 root (5))))(a^2) where a equals a side length. You have to solve this equation for both pentagons. The part before a^2 equals 1.7204774005889669227590119773886

The first is 49 = 1.7204774005889669227590119773886a^2 solving for a you get a = 5.336709388547417121488818775112

The second is 25 = 1.7204774005889669227590119773886a^2 so a = 3.8119352775338693724920134107943

Then you divide them by each other to get the ratio

5.336709388547417121488818775112 / 3.8119352775338693724920134107943 = 1.4

The ratio between the 49 and 25 is 1.4 to 1 or 1.4:1

If you need the ratio in a whole number you can multiply it by however many times it will take to make the decimal go away. In this case it is by 5. 1.4 * 5 = 7. and then 1 * 5 = 5

A whole number ratio between the two is 7:5

I hope this helps! Please let me know if you have any questions :)

May 17th, 2015

...
May 17th, 2015
...
May 17th, 2015
May 30th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
{"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.studypool.com/discuss/541609/what-is-the-ratio-of-the-corresponding-side-lengths?free", "fetch_time": 1496150361000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2017-22/segments/1495463615105.83/warc/CC-MAIN-20170530124450-20170530144450-00501.warc.gz", "warc_record_offset": 1198618161, "warc_record_length": 14321, "token_count": 454, "char_count": 1384, "score": 4.03125, "int_score": 4, "crawl": "CC-MAIN-2017-22", "snapshot_type": "longest", "language": "en", "language_score": 0.8973650932312012, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00012-of-00064.parquet"}