An architect has allocated a rectangular space of 666ft^2 for a square dining room and a 19ft wide kitchen. Find the width of the square dining room and the length of the entire rectangular space.

Answer 1

x^2 + 19x= 666

x^2 + 19x - 666 = 0
(x -18) (x+37)= 0

x -18 = 0
x = 18