A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What are the length and width of the field?

I really need help I don't know the answer.

2 answers

Factors of 300 include 30 by 10.

Would those dimensions give you a perimeter of 80?
2 L + 2 w = 80 or L + w = 40

L w = 300 so w = 300/L

so

L + 300/L = 40

L^2 - 40 L + 300 = 0

(L-30)(L-10) = 0
try
L = 30 and w = 10