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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.
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 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 perimeter of a rectangle with length 16.8 units and width 9.6 units?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 16.8 units and a width of 9.6 units, the perimeter is ( P = 2 \times (16.8 + 9.6) = 2 \times 26.4 = 52.8 ) units. Therefore, the perimeter of the rectangle is 52.8 units.
What is the perimeter of a rectangle 5X4?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 5 units and a width of 4 units, the perimeter would be ( P = 2 \times (5 + 4) = 2 \times 9 = 18 ) units. Thus, the perimeter of the rectangle is 18 units.
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.
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 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 perimeter of a rectangle with length 16.8 units and width 9.6 units?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 16.8 units and a width of 9.6 units, the perimeter is ( P = 2 \times (16.8 + 9.6) = 2 \times 26.4 = 52.8 ) units. Therefore, the perimeter of the rectangle is 52.8 units.
What is the perimeter of a rectangle 5X4?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a length of 5 units and a width of 4 units, the perimeter would be ( P = 2 \times (5 + 4) = 2 \times 9 = 18 ) units. Thus, the perimeter of the rectangle is 18 units.
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!
What is the perimeter of the rectangle with a width of 9 m and a length of 19 m?
The perimeter of a rectangle is calculated using the formula ( P = 2 \times (length + width) ). For a rectangle with a width of 9 m and a length of 19 m, the perimeter would be ( P = 2 \times (19 m + 9 m) = 2 \times 28 m = 56 m ). Thus, the perimeter is 56 meters.
