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Q: If one rectangles perimeter is greater than another will its area also be greater?

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Yes.

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.

Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.

The perimeter is also known as the circumference of a circle.

Perimeter is 2(length + width) 2(12+4) is 32 2(13+3) is also 32, so yes

All squares are rectangles also, but not all rectangles are squares, only equilateral rectangles are considered square.

No, but all squares are all rectangles.

Yes. All rectangles are also parallelograms, but not all parallelograms are rectangles.

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.

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

Some parallelograms are rectangles; all rectangles are parallelograms.

No. For example, a 1 ft by 9 ft rectangle (2 sides of length 1 and 2 sides of length 9) has perimeter 20 ft and an area of 9 square feet. But a 4 ft by 6 ft rectangle also has a perimeter of 20 feet, but an area of 24 square feet. These two rectangles both have the same perimeter of 20 feet but different areas.

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