What is the diagonal of a rectangle with a 16:9 ratio (width to height respectively) and a surface area of about 320, the diagonal must be a whole number, all numbers are in inches and answer must be in inches.?

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Answer 1 · 2015-10-18T21:57:02

#d=27''#

a and b = sides of the retangle

#a=(16/9)xxb#

#a.b=320#

#b=320/a#

#a=(16/9)xx(320/a)#

#a^2=5120/9#

#a~=23.85#

#b~=320/23.85~=13.4#

#d^2~=23.85^2+13.4^2#

#d~=sqrt(748.88) ~=27.3''#