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x2 = (x - 4)(x + 5)

x2 = x2 - 4x + 5x - 20

x = 20

The first room area = x2 = 202 = 400 ft2

The second room area = (x-4)(x+5) = 16 ft * 25 ft = 400 ft2

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Q: A house has two rooms of equal area one room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square one find the area of each room?
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