Problema Solution
The diagonal of a rectangular room is 39 ft. long. One wall measures 21 ft longer than the adjacent wall. Find the dimensions of the room.
Answer provided by our tutors
let
d = 39 ft is the diagonal
w = the width of the room
l = w + 21 = the length of the room
using the Pythagorean Theorem we can write
w^2 + l^2 = d^2
w^2 + (w + 21)^2 = 39^2
by solving we find and consider the positive root since the length can not be a negative number
w = 15 ft
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l = w + 21
l = 15 + 21
l = 36 ft
the dimensions of the room are 15 ft and 36 ft.