Geometry

# What is the greatest area of a rectangle with a perimeter of 400 yards?

The greatest area is 10000 square yards.

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## Related Questions

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.

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.

Assuming that you have a rectangle shaped area, 20 yards long by 15 yards wide, and you want to completely enclose the area with the fencing, then you have a problem where you need to find the perimeter of a rectangle. Perimeter = 2 * Length + 2 * Width Perimeter = 2 * (20 yd) + 2 * (15 yd) = 40 yd + 30 yd = 70 yards

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.

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.

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.

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

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

Its area is: 7 times 8 = 56 square yards Its perimeter is: 7+8+7+8 = 30 yards

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

For any given area, the rectangle closest to a square will have the smallest perimeter; and the one that is most "stretched out" has the largest perimeter. In this case, that would be a width of 1 and a length of 2014.

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.

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.

The perimeter of a square with an area of 5,000 square yards is: 282.8 yards

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.

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

Definitely.Rectangle #1: 18 x 2Perimeter = 40Area = 36Rectangle #2: 7 x 6Perimeter = 26Area = 42Rectangle #2 has a less perimeter than #1,but more area.

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