Table of Contents
- 1 What is the maximum area of the rectangular lot?
- 2 What is the maximum area of a rectangular plot of land which can be enclosed by a rope of length 80 Metres?
- 3 What is the largest rectangular area that can be enclosed by 800 yard fencing?
- 4 What type of rectangle always gives the greatest area for a given perimeter?
- 5 What is the maximum possible area of a rectangle with perimeter?
What is the maximum area of the rectangular lot?
The maximum area occurs when the rectangular garden is a square. The area of a rectangular field is the length times the width, which we can call xy, where x is the width and y is the length. We have 112 ft of fence, so the perimeter P is given by: P = 2x + 2y = 112 or x + y = 56 when we divide by 2.
What is the maximum area of a rectangular plot of land which can be enclosed by a rope of length 80 Metres?
The vertex is at (80,4800) . Hence, the maximum area is given by dimensions of 80 meters by 60 meters, where the side cut in half is 80 metres. The maximum area is 4800 .
What is the largest rectangle that can be made from 40m of fencing?
If the sides are length x and y metres, then the perimeter of the rectangle is 2x+2y metres. Since this is all the fence we can use we must have 2x+2y=40….What is the largest rectangular area of land you could fence off with 40m of fencing?
| base (m) | height (m) | area (m2) |
|---|---|---|
| 1 | 19 | 19 |
What is the maximum area of a rectangle with a perimeter of 100?
Maximum Area with Fixed Perimeter If the garden is rectangular, it will have the largest possible area when the length equals the width. In order to have a perimeter of 100 feet, that means that each side needs to be 25 feet long. The area would then be 25ft x 25ft, or 625ft2.
What is the largest rectangular area that can be enclosed by 800 yard fencing?
Hence if perimeter is 800 yards and it is a square, one side would be 8004=200 yards. Hence area can be maximized by fencing a square of side 200 yards.
What type of rectangle always gives the greatest area for a given perimeter?
4 Answers. The result you need is that for a rectangle with a given perimeter the square has the largest area.
How do you find the maximum area of a rectangle when the perimeter is given?
Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4).
How do you find the greatest perimeter of a rectangle?
Explanation: We know the perimeter of rectangle = 2*(length + width) unit. In rectangle length is always bigger than width. By assuming, If length & width equals, it becomes square and area is the biggest i.e. 25 * 25 = 625 sq cm.
What is the maximum possible area of a rectangle with perimeter?
Approach: For area to be maximum of any rectangle the difference of length and breadth must be minimal. So, in such case the length must be ceil (perimeter / 4) and breadth will be be floor(perimeter /4). Hence the maximum area of a rectangle with given perimeter is equal to ceil(perimeter/4) * floor(perimeter/4).