Question 463891
We know the perimeter is 800 m and the area is 37500m^2, so


800 = 2L + 2W --> L + W = 400


LW = 37500


From the equation L + W = 400 we can isolate L and say L = 400 - W. Plug this into the expression for area:


(400-W)W = 37500


-W^2 + 400W - 37500 = 0


W^2 - 400W + 37500 = 0


By factoring or by the quadratic formula, we get W = 150 or W = 250. This implies the other dimension is 250 or 150 (order doesn't matter since we can choose a different L. The dimensions are basically 150x250).