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The perimeter of a rectangular swimming pool is 86 m and its area is 450 m^2. find the dimensions of the pool.

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Kaiusviz
Take note that P = 2L + 2W and A = LW. So, we use the equations: 86 = 2L + 2W --> 43 = L + W and 450 = LW. We use solve for W in terms of L: 43 - L = W --> 450 = L (43 - L) --> 450 = 43L - L^2 --> (L - 25)(L - 18) = 0 --> L = 18, 25. We use L = 25: 43 - 35 = W --> 18 = W. The dimension is 18 m × 25 m.