# SOLUTION: a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is the length and width of the swimming pool? Is it possible for another pool to have the same

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 Question 614149: a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is the length and width of the swimming pool? Is it possible for another pool to have the same area but a larger perimeter ? I think the length would be 10meters and 3 meters wide ? not sure how to do the restFound 2 solutions by Alan3354, stanbon:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is the length and width of the swimming pool? 10 by 3 = 30 sq meters, not 40. It's 5 by 8 ----------------- Is it possible for another pool to have the same area but a larger perimeter ? Yes, it is. It could be 0.1 m by 400 meter --> P = 800.2 meters -------------------- L*W = 40 2L + 2W = 26 --> L = 8, W = 5 or vice versa Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is the length and width of the swimming pool? Perimeter = 2(L+W) 26 = 2(L+W) 13 = L+W L = 13-W ---- Area = L*W 40 = (13-W)W 40 = 13W-W^2 W^2 -13W+40 = 0 W = [13 +- sqrt(169-4*1*40)]/2 W = [13 +- sqrt(9)}/2 W = [13+-3]/2 Positive solution: W = 8 meters ---- So L = 5 meters ==================== Is it possible for another pool to have the same area but a larger perimeter ? Yes -------------- Note A pool that is 40 meters by 1 meter has a perimeter of (40+1+40+1) = 82 meters. This pool still has an area of 40 sq. meters. =================================== Cheers, Stan H. ===================== ==========================================