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.
The greatest area is 10000 square yards.
90.25 ft2
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.
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 greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.
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.
The greatest area is 10000 square yards.
You cannot.
90.25 ft2
square
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.
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.
It's greatest possible perimeter: 1+39+1+39 = 80 feet
There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.
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.
42 square units.