Problema Solution

an architect has planned a living room in a house. the room is a rectangle 12 feet by 10 feet. he decides to double the area of this room by increasing each dimension by an equal amount. by how many feet should he increase each side?

Answer provided by our tutors

(12+n)*(10+n)=2*12*10

120+12n+10n+n^2=240

n^2+22n=120

n^2+22n+121=241

(n+11)^2=241

n+11=241^1/2

n=241^1/2-11 (use calculator to calculate square root of 241)