A rectangular flower bed is to be created so that the length is 3 m more than the width. If the length of the diagonal of the flower bed is 15 m, determine the length and the width.

Answer 1

y = x + 3
y^2 + x^2 = 15^2 = 225

(x+3)^2 + x^2 = 225
x^2 + 6 x + 9 + x^2 = 225
2 x^2 + 6 x - 216 = 0
x^2 + 3 x - 108 = 0
https://www.mathsisfun.com/quadratic-equation-solver.html

Answer 2

width--- x
length ---- x+3

x^ + (x+3)^2 = 15^2

solve for x, reject the negative answer for x

Answer 3

yes