Answer:
1.a. 5 ft.
1.b. 7 ft.
1.c. length = 7 ft ; width = 5 ft
Step-by-step explanation:
1.a.
l = 2 + w
A = lw
35 = (2 + w)w
35 = 2w + w²
w² + 2w - 35 = 0
(w + 7)(w - 5) = 0
w + 7 = 0 w - 5 = 0
w = -7 w = 5 ft
Take the positive root, 5
1.b.
l = 2 + 5
l = 7 ft
1.c.
l = 7 ; w = 5
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Answers & Comments
Answer:
1.a. 5 ft.
1.b. 7 ft.
1.c. length = 7 ft ; width = 5 ft
Step-by-step explanation:
1.a.
l = 2 + w
A = lw
35 = (2 + w)w
35 = 2w + w²
w² + 2w - 35 = 0
(w + 7)(w - 5) = 0
w + 7 = 0 w - 5 = 0
w = -7 w = 5 ft
Take the positive root, 5
1.b.
l = 2 + w
l = 2 + 5
l = 7 ft
1.c.
l = 7 ; w = 5