In order for Mateo to walk 1000 meters in his rectangular backyard, he must walk the length 25 times or the perimeter 10 times. What is the area of his backyard in square meters?

Thanks!

1,000 / 25 = 40 m length

1,000 / 10 = 100 m perimeter

P = 2L + 2W
100 = 80 + 2W
20 = 2W
10 = W

A = LW
A = ______ square meters