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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Will a rectangle with a greater perimeter also have a greater areea?
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Can a rectangle have a greater perimeter and also have a greater area?

Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.


Can a rectangle have a smaller perimeter and also a greater area?

Yes. For instance, the rectangle measuring 1 by 10 has a perimeter of 22 and an area of 10, whereas the rectangle measuring 4 by 4 has a perimeter of 16 and an area of 16.


What has the greater perimeter a square with side eight units or rectangle with length 14 units and width two units?

They will be both the same because the perimeter of the square is 32 units and the perimeter of the rectangle is also 32 units


What is the formula for the perimeter of a square and rectangle?

The perimeter of any rectangle is [ 2 x (length + width) ]. Since the length and width of a square are equal, the perimeter of a square is also [ 2 x (side + side) ] = (4 x side).


How do you find the area of a rectangle with a perimeter of 36m?

how do you find the area of a rectangle witha perimeter of 36 in You don't. You need more information For example a 1 x 17 rectangle has a perimeter of 36 and its area is 17. But a 2 x 16 rectangle also has a perimeter of 36 and its area is 32.


What happens to the perimerter when you double the dimensions of a rectangle?

The perimeter also doubles.


If two shapes have the same perimeter will they have the same area?

Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.


A rectangle has a perimeter of 10 ft Write the area A of the rectangle as a function of the length of one side x of the rectangle?

This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.


How to get the deminsions of a rectangle?

The dimensions of a rectangle are the length and the width. With these two measurements , the area of the rectangle can be calculated : Area = length x width. The perimeter can also be found : Perimeter = (2 x length) + (2 x width).


Does the perimeter of a rectangle change when you double the dimensions?

Yes. The perimeter is a measure of the combined length of all the sides. If you double the lengths of the sides then naturally this will also necessarilychange the perimeter (it will double the perimeter).


How do you know that the perimeter of a rectangle is directly proportional to its length?

The perimeter of a rectangle is given by the formula P = 2(l + w). It is clear that as the length, l, increases, the perimeter, P, increases, as well. We say, therefore, that P is directly proportional to l. If l is the length and b is width of a rectangle then, the perimeter P of the rectangle is 2(l + b) units. P = 2(l + b) P = 2l + 2b If have b as a constant then, 2b will be a constant. Now l is the varying quantity. Say 2b = K P = 2l +K Perimeter changes if the length of the rectangle changes. In particular, if the length increases the perimeter of the rectangle increases. Similarly, if the length decreases the perimeter also decreases. So, the perimeter is directly proportional to the length of the rectangle. Source: www.icoachmath.com In the most simplest explanation, the sum of both lengths, and both widths of the rectangle, IS the perimeter. So obviously the perimeter is directly proportionate to its length (and its width).


What would happen to the perimeter if the side lengths of a rectangle are halved?

The perimeter of a rectangle is just the sum of the lengths of its sides, so taking half of each of the sides would make the total half of its original value also.

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