Question 174606
Let h = height
then
h+2 = width
.
Applying Pythagorean theorem we have:
h^2 + (h+2)^2 = 6^2
h^2 + (h^2+4h+4) = 36
2h^2 + 4h + 4 = 36
2h^2 + 4h - 32 = 0
h^2 + 2h - 16 = 0
.
Applying the quadratic formula yields:
x = {3.123, -5.123}
.
Tossing out the negative solution we have:
height = 3.123 meters
width = h+2 = 5.123 meters
.
Details of quadratic follows:
*[invoke quadratic "x", 1, 2, -16 ]