Answer:
if area is LESS than 350 (not exactly 350)
L < 35
W < 10
if area is exactly 350
L = 35
W = 10
Step-by-step explanation:
length (L) is 25 longer than width (W)
L = 25 + W
area is less than 350
A < 350
area of rectangle
A < L * W
350 < (25 + W) * W
350 < 25W + W^2
0 < W^2 + 25 W - 350
(W + 35) (W - 10)
roots are W = -35 and W = 10 (disregard negative root)
so positive width W = 10
L = 25 + W = 25 + 10 = 35
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Answers & Comments
Answer:
if area is LESS than 350 (not exactly 350)
L < 35
W < 10
if area is exactly 350
L = 35
W = 10
Step-by-step explanation:
length (L) is 25 longer than width (W)
L = 25 + W
area is less than 350
A < 350
area of rectangle
A < L * W
350 < (25 + W) * W
350 < 25W + W^2
0 < W^2 + 25 W - 350
(W + 35) (W - 10)
roots are W = -35 and W = 10 (disregard negative root)
so positive width W = 10
L = 25 + W = 25 + 10 = 35