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Nat2105 [25]
3 years ago
12

The perimeter of a rectangular rug is 30 yd and its length is 9 yd.find the area of this rug

Mathematics
1 answer:
Simora [160]3 years ago
4 0
<span>perimeter of a rectangular rug is 30 yd

P= L+L+W+W 
 </span><span>P= 9+9+W+W 
P= 18 + 2W 
</span><span>18 + 2W = 30    
 2W = 30-18 
</span><span>W= 12/2 = 6

A= L x W 
A= 9   x w 
</span><span>A= 9  x 6 = 45 yd square</span>
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According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

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P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

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Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

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