# If a carpet has an area of 48 square meters and the perimeter is 32 square meters what is the length and width?

Length (L) x Width (W) = Area
2*L+2*W = Perimeter
48/W=L (solved for L)
2*48/W+2*W=32 (inserted L into perimeter equation)
48+W^2=16*W (quadratic equation or factor)
W=12 or 4
Therefore L=4 when W= 12 or L=12 when W=4
Length (L) x Width (W) = Area
2*L+2*W = Perimeter
48/W=L (solved for L)
2*48/W+2*W=32 (inserted L into perimeter equation)
48+W^2=16*W (quadratic equation or factor)
W=12 or 4
Therefore L=4 when W= 12 or L=12 when W=4