Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?

Answer ... 15ft by 12ft

Explanation:

Area = Length * Width

180 = LW ... make W the subject of formula

; W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2 (180/L) ... sub W with the formula above ...

then simplify the equation and obtain ...

2L^2 - 27L + 180 = 0 ... then solve using the quadratic formula ... then obtain ...

; L = 15ft ... after obtaining L = 15 ... then substitute into the W = 180/L equation ...

where W = 180/15 = 12ft

there you have ... Length = 15ft and Width = 12ft