Problema Solution
Suppose you want to draw a rectangle where the width is 7 inches less than the length and the diagonal is 7 inches longer than the length. What are the dimensions of the rectangle?
Answer provided by our tutors
let
x = represent the length, x>=0
x - 7 = the width, x - t >=0, x>= 7
x + 7 = the diagonal
using the Pythagorean Theorem we have:
x^2 + (x - 7)^2 = (x + 7)^2
by solving we find:
x = 28 in
click here to see the step by step solution of the equation:
x - 7 = 28 - 7 = 21 in
the dimensions of the rectangle are: 28 in and 21 in.