Question 1098759
you have P = 2L + 2W
P > 62, therefore 2L + 2W > 62


you have W <= L - 10


your system of inequalities would be:
2L + 2W > 62
W <= L - 10
x >= 0
y >= 0


you can take any perimeter > 62 and solve for L and W as follows:
for example:
P = 100
2L + 2W = 100
W = L-10, therefore 2L + 2L - 20 = 100
4L = 120
L = 30
W = 20
2*30 + 2*20 = 60 + 40 = 100
since W <= L - 10, then W can be anything less than or equal to 20 which means that L can be anything greater than 30.
W, however, can't be greater than 20 if P = 100, because W would then not be at least 10 less than L.


example 1:


W = 10
2L + 2W = 100
2L + 20 = 100
2L = 80
L = 40
2*40 + 2*10 = 80 + 20 = 100
this is ok since W is at least 10 less than L.


example 2:
W = 21
2L + 2W = 100
2L + 42 = 100
2L = 58
L = 29
2L + 2W = 58 + 42 = 100
this is not ok since W is not at least 10 less than L.