Problema Solution
The diagonal of a rectangular room is 13ft long. One wall measures 7ft longer than the adjacent wall. Find the dimensions of the room.
Width=
length=
Answer provided by our tutors
let
w = the width, w>0
l = the length, l>0
d = 13 ft the diagonal
One wall measures 7ft longer than the adjacent wall
l = w + 7
using the Pythagorean Theorem we have
d^2 = l^2 + w^2
plug l = w + 7 into the last equation
(w + 7)^2 + w^2 = 13^2
by solving we find
w = 5 ft
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l = 5 + 7
l = 12 ft
Width = 5 ft
Length = 12 ft