Question

The area of a square field is represented by the trinomial x^2-10x+25. Write an expression that would represent the perimeter of the field.

Answer 1

A = x^2 - 10x + 25 = (x - 5)(x - 5)
A = Lw
L = (x - 5), w = (x - 5)

P = 2w + 2L
P = 2(x - 5) + 2(x - 5)
P = 2x - 10 + 2x - 10
P = 4x - 20