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SVETLANKA909090 [29]
3 years ago
11

How to find sides of gon with meaure of each angle exterior?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0
All exterior angles of n-gon always add up to 360°

To find the number of sides:

\text {Number of sides = }  \dfrac{360}{\text {size of one exterior angle}}
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Answer:

The dimensions of rectangle are:

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Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

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We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

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