The length of the top of a table is 5 m greater than the width. The area is 104m^2. Find the dimensions of the table

The width of the table is _____m

The length of the table is ____m

2 answers

w(w+5) = 104

w^2 + 5 w - 104 = 0

w = [ -5 +/- sqrt (25 + 416)] /2

w = [ -5 +/- 21 ]/ 2
w = 8 or w = 13
L = 8+5 = 13 then A = 8*13 = 104
w = 13 is too big
so 8 by 13
w = -13 is the other choice, no good