Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-A rectangular garden is three times as long as it is wide. If the area of the garden is 2187 square feet, find the length and width of the garden.
A) Length: 27 feet; Width: 3 feet
B) Length: 81 feet; Width: 27 feet
C) Length: 78 feet; Width: 26 feet
D) Length: 729 feet; Width: 3 feet

Question

Quizplus · Accepted Answer

Let x be the width of the garden. Then the length is 3x. The area of the garden is (3x)(x) = 3x^2. We know that 3x^2 = 2187, so x^2 = 729. Therefore, x = 27 (we take the positive root since a length cannot be negative). The length is 3x = 81. Therefore, the length and width of the garden are 81 feet and 27 feet respectively. Choice B is the correct answer.

Find All Fixed Points for the Function by Setting the Function