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Q: Which rectangle has the greatest area for a fixed perimeter?

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For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.

The square is.

The greatest area is 10000 square yards.

90.25 ft2

The maximum area for a rectangle of fixed perimeter is that of the square that can be formed with the given perimeter. 136/4 = 34, so that the side of such a square will be 34 and its area 342 = 1156.

It's greatest possible perimeter: 1+39+1+39 = 80 feet

The greatest area that a rectangle can have is, in fact, attained when it is a square. A square with perimeter of 16 cm must have sides of 4 cm and so an area of 4*4 = 16 cm2.

42 square units.

81 square feet.

42.25 cm2

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.

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

It is 182 cm.

12.25 sq metres.

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

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.

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

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

Let's take a look at this problem.Rectangle Perimeter = 2(l + w)Rectangle Perimeter =? 2(2l + 2w)Rectangle Perimeter =? (2)(2)(l + w)2(Rectangle Perimeter) = 2[2(l + w)]Thus, we can say that the perimeter of a rectangle is doubled when its dimensions are doubled.Rectangle Area = lwRectangle Area =? (2l)(2w)Rectangle Area =? 4lw4(Rectangle Area) = 4lwThus, we can say that the area of a rectangle is quadruplicated when its dimensions are doubled.

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

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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.

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