Question 209554
Since the area of a rectangle is gien by:
{{{A = L*W}}} then you can write:
{{{L*W = x^2+25x+150}}} where L = length of the park (usually the longest side) and W = the width of the park.
So let's factor the quadratic trinomial:
{{{x^2+25x+150 = (x+15)(x+10)}}} so we can say that:
{{{L*W = (x+15)(x+10)}}} and so...
{{{L = x+15}}} and, if x = 12, then:
{{{L = 12+15}}}
{{{highlight(L = 27)}}}yards.