Answer:
x=4/3
Step-by-step explanation:
The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²
Let x be the width of the rectangle.
As the area of track along the walls of the gym is 7000ft²
(x - 12)(3x - 12) = 7000
After simplifying:
3x² - 48x + 6856 = 0
Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
Learn more about the rectangle here:
brainly.com/question/15019502
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Its a square pool and its perimeter is 100 yards.
We know that a square has 4 sides with the same length so we can give a square perimeter by the sum of their 4 sides
Lets call the side "l" and since we have 4 of them we need to sum it 4 times
l + l + l + l = perimeter
4l = perimeter
We know the perimeter
4l = 100
Divide both sides by 4
4l/4 = 100/4
l = 25
So the side length is equal to 25 yards
