Answer:
a. 5 m
b. 27 m
Step-by-step explanation:
A = lw
A = 135m²
l = 12 + 3w
a.) 135 = (12 + 3w)w
135 = 12w + 3w²
45 = 4w + w²
w² + 4w = 45
w² + 4w +4 = 45 + 4
(w + 2)² = 49
√(w +2)² = √49
w + 2 = ± 7
w = 5 w = -9
Take the positive root, w = 5
b.) l = 12 + 3w
l = 12 + 3(5)
l = 27
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Answers & Comments
Answer:
a. 5 m
b. 27 m
Step-by-step explanation:
A = lw
A = 135m²
l = 12 + 3w
a.) 135 = (12 + 3w)w
135 = 12w + 3w²
45 = 4w + w²
w² + 4w = 45
w² + 4w +4 = 45 + 4
(w + 2)² = 49
√(w +2)² = √49
w + 2 = ± 7
w = 5 w = -9
Take the positive root, w = 5
b.) l = 12 + 3w
l = 12 + 3(5)
l = 27