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carlosleblanc26
13.02.2021 •
Mathematics
Harry Potter and the Stand Your Ground law lol
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Ответ:
cool
epic
this is meant for school but half is flooded with this stuff
Step-by-step explanation:
Ответ:
ok what do you need answered
Step-by-step explanation:
Ответ:
Write formulas: one for the length of the rug, one for the width.
If the room is 20 ft wide, the rug width would have to be 20-2x, and the run length would be 26-2x.
Rug area is 432 sq ft, and this equals (rug length)(rug width), or
432 = (26-2x)(20-2x) = 520 -40x - 52x + 4x^2 and this is 432.
Subtr. 432 from both sides: 520 - 432 - 92x + 4x^2 = 0. This is a quadratic equation that could be solved in various ways.
4x^2 - 92x + 88 = 0. Let's reduce this by div. all terms by 4:
x^2 -23x + 22 = 0
Easily factored! Note that -1x and -22x add up to -23x, and that (-1)(-12) = 22. Thus, the factors are (x-1)(x-22) = 0, so that x = 1 or x = 22.
Remembering that x represents the strip width, we eliminate x = 22 and keep x = 1.
The rug dimensions should be (26-2) by (20-2), or 24 by 18 feet.
Check: Does this area come out to 432 sq ft? (24)(18) = 432/ YES