A rectangular garden in Mrs Jewett’s house has a length of 100 meters and a width of 50 meters. She plans to build a square swimming pool inside the garden. Find the length of one side of the swimming pool if the remaining area (not occupied by the pool) is equal to one half the area of the rectangular garden.

Answer 50 m

Make “x” represent the side of the swimming pool. If the area not covered by the swimming pool is half the rectangular garden, then the other half is covered by the swimming pool whose area is x2. So: x2 = (1/2) 100*50 = 2500 Solve for x x = 50 meters , side of the swimming pool

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