Answer:
W = 7
L = 13
Explanation:
length (L) is 6 more than width (W)
L = 6 + W
area (A) is 91
A = 91
area of rectangle
A = L * W
91 = (6 + W) * W
91 = 6W + W^2
0 = W^2 + 6W - 91
(W + 13) (W - 7) = 0
roots are W = -13, W = 7
we only use positive root (no negative widths)
if W = 7, then L
L = 6 + W = 6 + 7 = 13
check area
A = L * W = 13 * 7 = 91
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Answer:
W = 7
L = 13
Explanation:
length (L) is 6 more than width (W)
L = 6 + W
area (A) is 91
A = 91
area of rectangle
A = L * W
91 = (6 + W) * W
91 = 6W + W^2
0 = W^2 + 6W - 91
(W + 13) (W - 7) = 0
roots are W = -13, W = 7
we only use positive root (no negative widths)
if W = 7, then L
L = 6 + W = 6 + 7 = 13
check area
A = L * W = 13 * 7 = 91