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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.
Perimeter:20 inches Area:35
the length is equal to 160,083
Equal or equivalent fits your "clue".
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 )
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.
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.
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.
The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.
The perimeter of the rectangle is the sum of its 4 sides.
find the perimeter and area of a rectangle that is 15cm long and 5cm wide