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Q: A group of sudents are finding the perimeters of rectangles whose lengths and widths are whole numbers they notice that all the perimeters are not even numbers is this always true?

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1 x 5 2 x 4 3 x 3

No, it is always false. Perimeter of a rectangle= 2l + 2w, l= length, w=width. 2*any whole number, regardless odd or even, is even. Thus 2l is even and 2w is even. The sum of two even numbers is always even.

1 and 62 and 53 and 41 and 62 and 53 and 41 and 62 and 53 and 41 and 62 and 53 and 4

4

5

Prime numbers.

prime numbers

The answer is, you can draw a rectangle with these measurements: 6cm and 9cm 5cm and 10cm 7cm and 8cm

Perimeter = 2 x (width + length)⇒ 12 = 2 x (width + length)⇒ width + length = 6⇒ the rectangles could be:1 by 52 by 43 by 3[A square is a rectangle with equal sides.]

1 unit x 5 units2 units x 4 units3 units x 3 units

add alll the numbers together

Not if the rectangles are non-overlapping.

Composite numbers have the most rectangles. These numers are numbers that have factors other than their self or one

There is no known system for finding prime numbers.

The set of whole numbers is infinite; hence, the number of rectangles that meet your specifications is infinite, as well. Are you sure you have the question right?

Draw nine rectangles, with the following dimensions:1 by 172 by 163 by 154 by 145 by 136 by 127 by 118 by 109 by 9If you want to get the jump on the next topic coming up in math, thenwhile you're drawing these rectangles, notice that even though theyall have the same perimeter, they all have different areas.

I would list all the factors of 480 (as pairs of numbers whose product is 480). Then find two pairs of numbers (L1,W1 and L2,W2) satisfying these properties. (It won't take long, since there are at most sqrt(480) (rounded down) pairs of numbers whose product is 480, ie. just try the numbers 1,2,3,...,21.) Hope that helps!

Prime numbers have one factor pair, hence one rectangle.

Only one.

Finding those numbers which divide exactly (with no remainder) into all of the two or more numbers.

Finding the difference between two numbers involves rationalising them

The process of finding them is the same. The difference is the function of the numbers. With an LCM, you're finding a multiple of whole numbers. With an LCD, you're finding a multiple of whole numbers that happen to be denominators.

Subtracting two numbers is finding their difference.

The mean distance is the same as the mean of a set of numbers,but this time, instead of them just being numbers, they're lengths. You just simply add up all the numbers and divide the total length, by how many lengths there are.

That depends on the manufacturer. Different brands can have different lengths of serial numbers.