L = 6W ---- the lenght is 6 times its width
P = 2(L + W) = 140
A =?
P = 2(L+W)
P = 2L + 2W
we know that L = 6W so we plug it into the equation
P = 2(6W) + 2W= 140
12W + 2W = 140
14W = 140
W = 140/14
W = 10
Lets plug 10 into the equation L = 6W
L = 6(10)
L = 60
AREA = LW
= 60 * 10
= 600