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No. Different rectangles, all with the same area, may have a different perimeter. Example:* A rectangle of 4 x 1 has an area of 4 square units, and a perimeter of 2(4+1) = 10.

* A rectangle of 2 x 2 has an area of 4 square units, and a perimeter of 2(2+2) = 8.

* A rectangle of 8 x 1/2 has an area of 4 square units, and a perimeter of 2(8 + 1/2) = 17.

In fact, for any given area, you can make the perimeter arbitrarily large. On the other hand, you get the lowest perimeter if your rectangle is a square.

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8y ago
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8y ago

Yes. Perimeter, P, is 2 x ( base + height) and area, A, is base x height.

If you have A and P and h then P = 2(A+h^2)/h

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Q: Is there a relationship between the area and the perimeter of a rectangle?
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What is the relationship for perimeter and area for rectangle?

There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.


Is there a relationship between the area and the perimeter of a rectangle explain?

Yes, there is. The area of a rectangle sets a lower limit on its perimeter.If the area is A, then the quadrilateral shape with the smallest perimeter has sides of length sqrt(A). Therefore the minimum perimeter is 4*sqrt(A). The perimeter can have any value grater than that since the area of the rectangle can be maintained while making it thinner and longer and thus increasing its perimeter with out any upper limit.


What kind of manipulative can use to teach the relationship between area and perimeter?

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What is the difference between perimeter and area of polygon?

perimeter is the measure around the figure; area is the measure within the figure formula: perimeter: length+length+width+width=perimeter (for square or rectangle) area: length times width= area ( for square or rectangle)


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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?

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What is the effect on the perimeter of a rectangle if the dimension are doubled what is the effect on its area?

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