## What is the maximum area of rectangle?

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).

How do you find maximum area with derivatives?

To find the value of x that gives an area A maximum, we need to find the first derivative dA/dx (A is a function of x). If A has a maximum value, it happens at x such that dA/dx = 0. At the endpoints of the domain we have A(0) = 0 and A(200) = 0.

How do you optimize the area of a rectangle?

For a given perimeter, the area will be maximized when all the sides are the same length, which makes it actually a square. A square is still a rectangle, though! So, if you know the perimeter, divide it by four to determine the length of each side. Then multiply the length times the width to get the area.

### What is the surface area of a rectangle?

To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw. Going back to our example, the area of the bottom face is 4 inches x 3 inches = 12 square inches.

What is perimeter and area of rectangle?

The perimeter P of a rectangle is given by the formula, P=2l+2w , where l is the length and w is the width of the rectangle. The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

What is surface area formula?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

## How do you optimize area and perimeter?

How do you calculate the area of a rectangle?

To calculate the area of a rectangle, multiply the adjacent sides together. Be careful not to multiply the opposite sides together. The formula to calculate the area is A = ab, where a and b are the adjacent sides of the rectangle.

What is the formula for the surface area of a rectangle?

Formula for area of a rectangle. The surface area of a rectangle can be found by the formula. Surface area of a Rectangle = L × B, where L is the length of the Rectangle and B is the breadth of the rectangle. The unit for the surface area of a rectangle is cm 2 or m 2.

### What is the formula for the diameter of a rectangle?

Use the Pythagorean theorem , H squared = A squared + B squared, to determine the length of the diagonal and thus calculate the diameter of a rectangle. Examine the T-square and make sure the two pieces meet at a 90 degree angle.

What is the formula for calculating the area?

Area of Base: πr2 Area of Side: πrs Total Surface Area = πr2 + πrs