An architect has allocated a rectangular space of 275ft^2 for a square dining room and a 14ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space.
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Hint. If the dining room has side x, then one side of the kitchen must also be s, and the width is 14. So, just add up the areas:
x^2 + 14x = 275
x^2 + 14x = 275
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