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# 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. Study guides

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## 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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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.

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.

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.

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.  Earn +20 pts  