Where is perimeter used?
We often find the perimeter when putting up Christmas lights around the house or fencing the backyard garden. Other examples may include finding the total length of the boundary of the soccer field or the length of the crochet or ribbon required to cover the border of a table mat.
Can you find the area of a rectangle if you know the perimeter?
Explanation: The area of a rectangle can be calculated by multiplying the lengths of two adjacent sides. The perimeter and the length of one side: Using the perimeter formula, you can find the length of an adjacent side, making this choice false.
How do you optimize area and perimeter?
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.
How do you find the minimum area of a rectangle?
To find the minimum possible area, subtract the greatest possible error from each measurement, then multiply.
What is the minimum perimeter of a rectangle?
16 in
What is the greatest area you can make with a rectangle that has a perimeter of 24 units?
Answer. The rectangle with a perimeter of 24 units and the greatest area is a square with side length of 6 units. That square has an area of 36 square units.
How do you maximize derivatives?
Take the derivative of the total profit equation with respect to quantity. Set the derivative equal to zero and solve for q. This is your profit-maximizing quantity of output. Substitute the profit-maximizing quantity of 2,000 into the demand equation and solve for P.
What is the minimum perimeter of a rectangle with an area of 625?
The minimum perimeter of a rectangle with fixed area is always a square. Length of square = √625 = 25. Perimeter of square = 4 * 25 = 100 feet.
Which of the following has least perimeter?
square
What is the smallest perimeter?
How do you reduce the perimeter of a rectangle?
Take the sides of the rectangle as length x and width y. To minimize this, we need to differentiate P. Since, we have two different variables in the perimeter, let us bring it to one variable. Therefore, y=√1000 is the critical number.
What is the maximum area of a rectangle with a perimeter of 100?
SOLUTION: what is the maximum area of a rectangle with a perimeter of 100 feet. Max area is a square. Many different ways to solve this. , or x = 25.
How do you find the maximum area of a rectangle with a fixed perimeter?
You have 2x+2y=P⟹x+y=P/2, and you want to find the maximum of the area, A=xy. Since x+y=P/2⟹y=P/2−x, you substitute to get A=x(P/2−x)=(P/2)x−x2.
What does fixed perimeter mean?
This means the length of the side of an area, a rectangle for example, is always the same : If the side of the rectangle are a and b, then a+b times two is fixed, or, which is the same, the sum a and b is fixed.
Which rectangle has the greatest perimeter?
Answer. There are an infinite number of rectangles with an area of 24 square units. Students may think that a 1 x 24 rectangle has the greatest perimeter, but a . 5 x 48 rectangle has an even greater perimeter.
Can the area be bigger than the perimeter?
That means, any square with a side length less than 4, will have a larger perimeter than area. Technically: no, because area and perimeter are measured with different units, and so they can’t be just compared. Numerically: yes, it just depends on your units.