# The Perimeter of a Rectangular Garden is 43.8 Feet

The Perimeter of a Rectangular Garden is 43.8 Feet

At that place are numerous ways to observe a missing dimension of a rectangle, and the method you utilize volition depend on what information you already have. As long as you know the surface area or perimeter, besides equally the length of one side of the rectangle (or the relationship between the length and width), you can find a missing dimension. The properties of a rectangle are such that you can use these methods for finding the width or length.

1. one

2. ii

Plug the values for surface area and length into the formula.
Brand sure yous substitute for the right variables.

• For case, if you are trying to notice the width of a rectangle that has an surface area of 24 square centimeters, and a length of 8 centimeters, your formula will look like this:

${\displaystyle 24=8w}$

24
=
viii
westward

{\displaystyle 24=8w}

3. three

Solve for

${\displaystyle w}$

w

{\displaystyle w}

.

To do this, you lot need to divide each side of the equation by the length.[3]

4. four

Don’t forget to include the unit of measurement.

1. 1

2. 2

Plug the values for perimeter and length into the formula.
Make sure you substitute for the correct variables.[6]

3. three

Solve for

${\displaystyle w}$

w

{\displaystyle w}

.

To do this, y’all need to subtract the length from each side of the equation, then divide by 2.

4. iv

Don’t forget to include the unit of measurement.

1. one

2. 2

Plug the values for the diagonal and side length into the formula.
Brand sure you substitute for the correct variables.

• For example, if yous are trying to observe the width of a rectangle that has a diagonal length of v centimeters, and a side length of 4 centimeters, your formula will await like this:

${\displaystyle 5={\sqrt {w^{2}+4^{2}}}}$

v
=

west

2

+

4

2

{\displaystyle 5={\sqrt {w^{2}+4^{2}}}}

3. iii

Square both sides of the formula.
You need to do this to get rid of the foursquare root sign, which makes isolating the width variable easier.[ix]

4. 4

Isolate the

${\displaystyle w}$

w

{\displaystyle w}

variable.

To exercise this, you need to decrease the squared length from each side of the equation.

5. v

Solve for

${\displaystyle w}$

w

{\displaystyle due west}

.

To do this, you lot demand to discover the square root of each side of the equation.

6. 6

Don’t forget to include the unit of measurement.

1. one

Gear up up the formula for area or perimeter of a rectangle.
Which formula you utilize will depend on which measurement you are given. If you are given the area, ready up the area formula. If you are given the perimeter, ready the perimeter formula.

2. 2

Write the expression that describes the relationship betwixt the length and the width.
Write your expression in terms of what

${\displaystyle l}$

fifty

{\displaystyle l}

equals.

• The relationship might be given past stating how many times bigger one side is than the other, or how many units more than or less it is.
• For example, you might know that the length is five centimeters longer than the width. Your expression for the length is then

${\displaystyle l=w+5}$

l
=
westward
+
5

{\displaystyle l=w+five}

.

3. 3

Replace the

${\displaystyle l}$

l

{\displaystyle l}

variable in your area (or perimeter) formula with the expression for length.

Your formula should at present only contain the variable

${\displaystyle w}$

w

{\displaystyle west}

, which means you lot tin can solve for the width.

4. 4

Simplify the equation.
Your simplified equation might take on diverse forms, depending on the human relationship between the length and the width, and depending on whether you are working with area or perimeter. Think about setting up an equation that allows you to solve for

${\displaystyle w}$

due west

{\displaystyle w}

in the simplest style.

5. 5

Solve for

${\displaystyle w}$

west

{\displaystyle w}

.

Again, how you solve for

${\displaystyle w}$

west

{\displaystyle w}

will depend on your simplified equation. Use the bones rules of algebra and geometry to solve.[12]

• Question

How would I find width when I’ve been given volume, superlative, and length?

Blankless X

You lot dissever the volume past the pinnacle and the length. Y’all could multiply the height and the length with each other start before dividing. Westward = V / (H*50).

• Question

The length of a rectangle field is twice its breadth. Its perimeter is 400m. How do I discover the length and breadth?

Allow B equal the breadth. Then 2B equals the length. Write an equation in B, stating that the perimeter is equal to twice the breadth plus twice the length. Solve for B.

• Question

How do I find the area of a rectangle if width and perimeter are given?

Double the width, and decrease that from the perimeter. Then divide that number past two, which gives y’all the length of the rectangle. Then, multiply the outcome past the width to become the area.

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Article Summary
X

To find the width of a rectangle, use the formula: expanse = length × width. Simply plug the surface area and length of the rectangle into the formula and solve for the width. If y’all don’t have the surface area, you can use the rectangle’s perimeter instead. In that case, you would use the formula: perimeter = ii × length plus 2 × width. Plug the perimeter and the length into the formula and solve for the width.
To learn how to discover the width of a rectangle using the diagonal and the length, scroll down!

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