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:
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Answer:
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Step-by-step explanation:
In order to find the speed at which the boat is traveling, we divide the distance it has traveled by the time elapsed:
2.5/20=0.125 miles/minute
Next, we want to find how long it took for the boat to travel 10 miles. Since it travels 0.125 miles every minute, we just divide:
10/0.125=80
Thus, it took 80 minutes for the boat to reach the bridge
