Answer:
x = 2 - 5, x = 2 + 5
Step-by-step explanation:
x² - 4x = 71
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = 71 + 4
(x - 2)² = 75 ( take the square root of both sides )
x - 2 = ± = ± 5
( add 2 to both sides )
x = 2 ± 5
then
x = 2 - 5 , x = 2 + 5
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.
<h3>What is a golden rectangle?</h3>In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.
In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,
Length of the rectangle = 1.618 × 15 feet = 24.27 feet
Now, the perimeter of the rectangle can be written as,
Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.
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