Question

An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m2. Find the dimensions of the garden. fence length 150-x and width equals x

Answer 1

area = x(150 - x) = 5000

solve for x

Answer 2

150x-x2=5000

150x-x2-5000=0
is this right so far?

Answer 3

yes but write it as
x^2 - 150x + 5000 = 0

Answer 4

(x - 50)(x - 100) = 0

x = 50 or 100

so dimensions of the grade is 50 by 100 m.