Question 491537
A = L*W
A = 91
L = W+6
.
(W+6)*W = 91
W^2 + 6W = 91
W^2 +6W -91 = 0
Factor
(W - 7)(W + 13) = 0
Apply FOIL
W^2 +13W -7W -91 = 0
W^2 + 6W - 91 = 0
Correct.
.
So, W equals either 7 or -13. 
A negative width does not make sense, so:
W = 7
.
L = W + 6
L = 13
.
Answer:
Width = 7
Length = 13
.
Done