Problema Solution
The oriental rug shown is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet find its dimensions to the nearest tenth of a foot
Answer provided by our tutors
let 'w' represent the width in feet, then 'w+5' represents the length
the diagonal of the rug is the hypotenuse of a right triangle with sides of length 'w' and 'w+5':
12^2 = w^2 + (w+5)^2
solving for 'w' we have a positive value of w=5.608
5.608+5 = 10.608
the width of the rug is approximately 5.6 ft, its length is approximately 10.6 ft