Math
posted by ND .
1. A rectangular field with an area of 5000m^2 is enclosed by 300m of fencing. Find the dimensions of the field:
A. 100m x 50m
B. 75m by 75m
C. 150m x 150m
D. no solution
Please explain answer. Thanks!

Let the unknown dimensions be a and b. Solve the two equations
a b = 5000
2a + 2b = 300
Simplify to a + b = 150 and substitute 150a for b in the first equation.
a(150a) = 5000
a^2  150 a + 5000 = 0
You could either solve by factoring or just see which of the multiple choices satsifies the two equations. There IS a solution.