My Math Forum Triangle question from a Math "Dummy"?

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 February 9th, 2019, 04:03 PM #1 Newbie   Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0 Triangle question from a Math "Dummy"? No math background... But need help. What is the "?-ft." measurement? Any questions? Thanks!
 February 10th, 2019, 12:28 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 The area of a triangle can be calculated as half its base multiplied by its height. If the desired width is x feet, 43*21/2 = 43*8/2 + 21*x/2, so x = 43*13/21. Thanks from topsquark
 February 10th, 2019, 04:05 AM #3 Newbie   Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0 Gray-box? ​I fear I may not be asking the right question.* Let me try to clarify... What are the dimensions of the "gray-box"?* Given is the 8-ft. side by ???* Last edited by skipjack; February 10th, 2019 at 06:59 AM.
 February 10th, 2019, 05:57 AM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 longer-side-of-"gray-box" = 43 - 344/21 = ~26.62 ft. If you want to understand why, google "right triangles" and "similar triangles". If you have more questions, come back with a labelled diagram so we can clearly refer to it... Last edited by skipjack; February 10th, 2019 at 06:42 AM.
 February 10th, 2019, 06:51 AM #5 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 I happened to use the word "width" rather than "length", but the value 43*13/21 is correct. As a mixed fraction, it's 26 13/21.
 February 10th, 2019, 02:34 PM #6 Newbie   Joined: Feb 2019 From: Central PA Posts: 4 Thanks: 0 26.62 ft. 26.62 ft. it is... Thanks!
 February 10th, 2019, 02:53 PM #7 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 That's 26 feet and 7.44 inches.... Are you a carpenter building something?
 February 10th, 2019, 03:03 PM #8 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 7.43
February 10th, 2019, 03:31 PM   #9
Newbie

Joined: Feb 2019
From: Central PA

Posts: 4
Thanks: 0

Reason...

Quote:
 Originally Posted by Denis That's 26 feet and 7.44 inches.... Are you a carpenter building something?
Very close...

Attached: Inside the RED circle is a building/plot-plan. The arrow points to the "triangle" of land. I want to add an 8-ft. second-story deck, and needed to know how long I can build an 8-ft. deck.
Attached Images
 400 PLOT1.jpg (20.9 KB, 6 views)

 February 10th, 2019, 03:32 PM #10 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 7.4285714285695

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