The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m,find it's width
2 answers:
Answer:
The width of the field is 35 meters.
Step-by-step explanation:
Recall that the perimeter of a rectangle is given by:
Where <em>w</em> is the width and <em>l</em> is the length of the rectangle.
We know that the perimeter is 150 meters. Thus:
Divide both sides by two:
We are given that the length is five meters longer than the width. So:
Substitute:
Combine like terms:
Subtract five from both sides:
And divide both sides by two. Hence:
Thus, the width of the rectangular field is 35 meters.
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Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.
Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.
Set these equations equal to zero
If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.
and
This is valid through the law of syllogism. If you swap lines 1 and 2, then you'll have this argument:
If I step on a beehive, then I will get stung.
If I get stung by a bee, then it will hurt.
Therefore, if I step on a beehive, then it will hurt
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So it's like connecting a chain together. Point A (stepping on the hive), leads to point B (getting stung), which leads to point C (getting hurt). We can take a shortcut to bypass point B to jump from A to C in one step. Check out the attached image for a visual of what I'm referring to.
