Problema Solution
The oriental rug shown is 3 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 the length be x ft, where x>0
the wide is x-3 ft
the diagonal is 12 ft
using the Pythagorean Theorem we have
x^2 + (x-3)^2 = 12^2
by solving we find
x = 9.9 ft
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9.9 - 3 = 6.9 ft
the dimensions of the rug are 9.9 ft and 6.9 ft.