An architect has allocated a rectanglular space of 646ft^2 for a square dining room and a 15ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space.

Answer 1

looks like

x^2 + 15x = 646
(x-19)(x+34) = 0
So, the dining room is 19x19 and the kitchen is 19x15

rectangular space is 19x34