Aroom has an area of 60 square meters and a perimeter of 32 meters. what are the length and width of the room?

Define x and y :

Let the width be x.
Let the length be y. 


Construct Equation:

2x + 2y = 32 (1)
xy = 60          (2) 


From Equation (1):

2x + 2y = 32
x + y = 16

sub x = 16 - y into (2)

(16 -y)y = 60
16y - y² = 60
y² - 16² + 60 = 0
(y - 10)( y -6) = 0
y = 10 or y = 6

If y = 10, x = 6
If y = 6, x = 10


Then length is 10m and the width is 6m.