SOLUTION: An architect has allotted a rectangular space of 312 ft^2 for a square dining room and a 11 ft wide kitchen. find both the width of the square dining room and length. width_______

SOLUTION: An architect has allotted a rectangular space of 312 ft^2 for a square dining room and a 11 ft wide kitchen. find both the width of the square dining room and length. width________

Question 804186: An architect has allotted a rectangular space of 312 ft^2 for a square dining room and a 11 ft wide kitchen. find both the width of the square dining room and length. width______________ and entire square__________________
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x^2 is the dining area
11x is the kitchen
x^2+11x=312
x^2+11x-312=0
(x-13) (x+24) = 0
x=-24 Real life measurements can't be negative so disregard this result.
x = 13 ft
13^2=169 sq ft is the area for the dining room
11*13 =143 sq ft is the area for the kitchen.
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