9. A rectangular garden that has an area of 12m2 and a perimeter of 16 meters.
Which of the following equations represents the given problem?
A. W2 -9w + 16 = 0
C. w- 8W - 12 = 0
B. -W2-18w +16 = 0
D. -W2 + 8w -12 = 0
Which of the following equations represents the given problem?
A. W2 -9w + 16 = 0
C. w- 8W - 12 = 0
B. -W2-18w +16 = 0
D. -W2 + 8w -12 = 0
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Answer:
D. -W² + 8W - 12 = 0
Step-by-step explanation:
FORMULA:
Area: A = L • W
Perimeter: P = 2L + 2W
Solution:
2L + 2W = P
[2L + 2W = 16] (2/2)
L + W = 8
L = 8 - W (Eq. 1)
L • W = A
L • W = 12 ; Substitute L with Eq. 1
(8 - W) (W) = 12
8W - W² = 12
8W - W² - 12 = 0
-W² + 8W - 12 = 0