Modeling with Quadratic Equations
46. An architect designs a diagonal path across a rectangular patio. The path is 25 meters long. The width of the patio
is x meters, and the length of the patio is 5 meters more than the width. The dimensions of the patio can
be modeled
by
the equation x²+(x+5)² = 625. What is the value of x, the width of the patio?
25 meters
(x+5) meters
Not drawn to scale
x meters