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Q: Why does the rectangle have a perimeter and area that are numerically equal?

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The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.

Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.

the length is equal to 160,083

Perimeter:20 inches Area:35

the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.

Equal or equivalent fits your "clue".

In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.

The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.

The perimeter of rectangle A would then be 80 because 80 to 100 is 4 to 5 simplified and the area of triangle A would depend on the sides and area of rectangle B which have not been given.

find the perimeter and area of a rectangle that is 15cm long and 5cm wide

the length of a rectangle is 5 more then the width. Find the perimeter and the area of the rectangle

The perimeter of the rectangle is the sum of its 4 sides.

No, but I can tell you that an 8 x 8 square has an area of 64 and a perimeter of 32.

Let h and w equal the dimensions of the rectangle and A equal its area 2h + 2w = 30 The perimeter of the rectangle is the sum of its sides, two widths and two heights h*w = A The formula for the area of a rectangle We have two equations but three unknown variables. Without more information about this rectangle, it is impossible to solve for the area from the perimeter alone unless this rectangle was specified as being a square (which gives us a third equation, b = h )

yes

Yes, the perimeter or area of a rectangle can be an irrational number. Thanks

No,for example, a 1x2 rectangle has an area of 2 but a perimeter of 6

156 It is impossible to calculate the area of a rectangle from its perimeter if no other dimension is known. The area of a rectangle is the product of its length and width, and the perimeter is twice the sum of its length and width.

No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.

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 are the dimensions of the rectangle with this perimeter and an area of 8000 square meters

perimeter, area =35.0,66.0 , Travis Garner Rocks!

No, they are not equal. Say a rectangle is 3 x 2 = 6 sq in area Say another is 6 x 1 = 6 sq in area perimeter of first one is 2L + 2B = 10 perimeter of second one is 2L + 2B = 14

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.

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.