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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.

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Q: How do you calculate the length of a rectangle using the area and perimeter?
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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 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.


Describe how to find the side length of the rectangle without graphing?

To find the length of a side, you either measure it, or you calculate it. How you calculate it depends on what data is given. For example, if you have the coordinates of the endpoints of a line, you can calculate the length by using the Pythagorean theorem (or simply subtracting the coordinates of the two endpoints, if the line is perfectly vertical or perfectly horizontal).


How do you find the length of a given side if you have lengths of other sides of a rectangle?

By using the fact that opposite sides of a rectangle have the same length.By using the fact that opposite sides of a rectangle have the same length.By using the fact that opposite sides of a rectangle have the same length.By using the fact that opposite sides of a rectangle have the same length.


How do you find the perimeter of a rectangle using subtraction?

i dont no if you can find the perimeter of a triagle by using subtration the formula is adding all the up together.

Related questions

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 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.


How do you write a program to find the area and perimeter of a rectangle?

CLS PRINT "PROGRAM: Calculate both perimeter/area of rectangle" PRINT INPUT " Length"; length INPUT "Breadth"; breadth PRINT PRINT "Perimeter: "; 2 * (length + breadth) PRINT " Area: "; length * breadth END


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.


The diagonal of rectangle is 50 cm its breadth is 30 cm then the perimeter is?

Using Pythagoras theorem its length is 40 cm and so 2(40+30) = 140 cm which is its perimeter


What is the length of a diagonal line in a rectangle 30 feet by 20 feet?

You can calculate this using the Pythagorean formula for a right triangle.


Describe how to find the side length of the rectangle without graphing?

To find the length of a side, you either measure it, or you calculate it. How you calculate it depends on what data is given. For example, if you have the coordinates of the endpoints of a line, you can calculate the length by using the Pythagorean theorem (or simply subtracting the coordinates of the two endpoints, if the line is perfectly vertical or perfectly horizontal).


How do you find the length of a given side if you have lengths of other sides of a rectangle?

By using the fact that opposite sides of a rectangle have the same length.By using the fact that opposite sides of a rectangle have the same length.By using the fact that opposite sides of a rectangle have the same length.By using the fact that opposite sides of a rectangle have the same length.


How do you find the perimeter of a rectangle using subtraction?

i dont no if you can find the perimeter of a triagle by using subtration the formula is adding all the up together.


Can you use the formula for the perimeter of a rectangle to find the perimeter of any squere?

Yes. But using P=4s is easier with a square.