Home » Test Prep » PSAT Test » Which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in orange). The dirt path is seven feet wide throughout. Which of the following polynomials gives the perimeter of the garden in feet?
A. 2x2 – 42x + 196
B. 6x – 28
C. 6x – 56
D. 6x – 14
E. 2x2 – 21x + 49
Correct Answer: C
Explanation/Reference:
Explanation:
The length of the garden, in feet, is 2 × 7 = 14 feet less than that of the entire lot, or L = 2x – 14; The width of the garden, in feet, is 2 × 7 = 14 less than that of the entire lot, or W = x – 14.
The perimeter, in feet, is twice the sum of the two:
P = 2(L + W)= 2(2x – 14 + x – 14) = 2(3x – 28) = 6x – 56
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