0
Suppose the rectangle has dimensions X and Y units
Then
Area = X*Y so that Y = A/X
also
Perimeter = 2X + 2Y
P =2X + 2A/X
Multiplying by X gives
PX = 2X2 + 2A
ie 2X2 - PX + 2A = 0
This is a quadratic equation in the variable X and its two solutions are
X = [P ± sqrt(P2 - 4*2*2A)]/(2*2)
ie
X = [P ± sqrt(P2 - 16A)]/4
The two solutions will be the length and width of the rectangle. Conventionally, the bigger (the one obtained when the + sign is used) is the length and the other the width.
What else can I help you with?
What is the perimeter of the rectangle with a length of 8 inches is 48 square inches?
You must first calculate the width, using the formula for the area of a rectangle (plug in the numbers you know into the formula, and solve for width). Once you know this, you can plug in the numbers in the formula for a rectangle's perimeter.
What is the perimeter of a rectangle if the length is 30m and the width is 20m?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 30 meters and a width of 20 meters, the perimeter would be ( P = 2 \times (30 + 20) = 2 \times 50 = 100 ) meters. Thus, the perimeter of the rectangle is 100 meters.
How do you write an algorithm of perimeter of a rectangle?
To write an algorithm for calculating the perimeter of a rectangle, you start by defining the inputs, which are the length (L) and width (W) of the rectangle. The perimeter (P) can be calculated using the formula ( P = 2 \times (L + W) ). The steps in the algorithm would include: 1) Input the values of L and W, 2) Calculate the perimeter using the formula, and 3) Output the result.
What is the formula of area and perimeter of rectangle?
The area of a rectangle is calculated using the formula ( \text{Area} = \text{length} \times \text{width} ). The perimeter is found using the formula ( \text{Perimeter} = 2 \times (\text{length} + \text{width}) ). These formulas help determine the space within the rectangle and the total distance around it, respectively.
What is the perimeter and area of a rectangle with the length of 5.5 m and a width of 12.0 m?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 5.5 m and a width of 12.0 m, the perimeter is ( 2 \times (5.5 + 12.0) = 35.0 ) m. The area is calculated using the formula ( A = length \times width ), which gives ( 5.5 \times 12.0 = 66.0 ) m². Thus, the perimeter is 35.0 m and the area is 66.0 m².
The perimeter of a rectangle is 72m the width of the rectangle is 16m what is the area of the rectangle?
To find the area of a rectangle, you need to know the formula: Area = length x width. Given that the perimeter is 72m and the width is 16m, we can calculate the length by using the formula for perimeter of a rectangle: Perimeter = 2(length + width). Substituting the values we have, 72 = 2(length + 16), which simplifies to length + 16 = 36. Therefore, the length of the rectangle is 20m. Finally, the area of the rectangle is 20m x 16m = 320 square meters.
How do you find breadth using perimeter and length?
If the shape is a rectangle (or square), then Perimeter = 2*(Length + Breadth) So Breadth = Perimeter/2 - Length
Draw a flowchart that will compute and display the Area of a rectangle using the formula: Area = Length Width?
The formula for the perimeter of a rectangle is: p = 2(l + w) In other words, just add all four sides. You can't calculate the perimeter of the rectangle if you know only the length.
What is the perimeter of the rectangle with a length of 8 inches is 48 square inches?
You must first calculate the width, using the formula for the area of a rectangle (plug in the numbers you know into the formula, and solve for width). Once you know this, you can plug in the numbers in the formula for a rectangle's perimeter.
What is the perimeter of a rectangle if the length is 30m and the width is 20m?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 30 meters and a width of 20 meters, the perimeter would be ( P = 2 \times (30 + 20) = 2 \times 50 = 100 ) meters. Thus, the perimeter of the rectangle is 100 meters.
What is the formula of area and perimeter of rectangle?
The area of a rectangle is calculated using the formula ( \text{Area} = \text{length} \times \text{width} ). The perimeter is found using the formula ( \text{Perimeter} = 2 \times (\text{length} + \text{width}) ). These formulas help determine the space within the rectangle and the total distance around it, respectively.
What is the perimeter and area of a rectangle with the length of 5.5 m and a width of 12.0 m?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 5.5 m and a width of 12.0 m, the perimeter is ( 2 \times (5.5 + 12.0) = 35.0 ) m. The area is calculated using the formula ( A = length \times width ), which gives ( 5.5 \times 12.0 = 66.0 ) m². Thus, the perimeter is 35.0 m and the area is 66.0 m².
How do you find area and length of a rectangle if perimeter and breadth is given?
Well, isn't that just a happy little problem to solve! To find the area of a rectangle, you multiply the length by the breadth. And to find the length, you can use the formula: length = (perimeter - 2 * breadth) / 2. Just remember, there are no mistakes, only happy accidents in math!
How do you find the area of a rectangle using perimeter and width?
Perimeter minus two times the width will give you the two times the length. Area is found by multiplying the length by the width.
What is the perimeter of 150 acres?
To find the perimeter of 150 acres, we need to know the shape of the land. Since acres measure area, we can't directly calculate the perimeter without additional information. If the land is a square, we would need to find the square root of 150 to determine the side length, then multiply by 4 to find the perimeter. If the land is a rectangle, we would need the length and width to calculate the perimeter using the formula 2(length + width).
What is the area of 12 cm2 and the perimeter of 14 cm?
Well, honey, if the area is 12 cm² and the perimeter is 14 cm, that means we're dealing with a rectangle. To find the dimensions, you'll need to do some math. Let's break out the algebra and solve for the sides like the math whiz you are.
How do you find the circumference of a rectangle?
The perimeter (P) of a rectangle is the sum of the length's of all four sides which can be simplified by using the length (l) and width (w) as follows: P = 2*w+2*l.
