Problema Solution
The diagonal of a rectangular room is 39 feet long. One wall measures 21 feet longer than the adjacent wall. Find the dimensions of the room.
Answer provided by our tutors
let 'l' and 'w' are the walls of the room.
we have a rectangle with length = width + 21 that is
l = w + 21
using the Pythagorean Theorem we know that the square of the diagonal = sum of the squares of the sides that is
39 = w^2 + l^2
by solving the system of equations
l = w + 21
39^2 = w^2 + l^2
we find
l = 36 feet
w = 15 feet
the dimensions of the room are 36 feet and 15 feet.