How To Find Area Without Length And Width

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There are numerous ways to discover a missing dimension of a rectangle, and the method yous use volition depend on what data you already have. Equally long as yous know the surface area or perimeter, likewise every bit 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. 1

2. 2

   Plug the values for area and length into the formula. Make sure y'all substitute for the correct variables.

   • For example, if you lot are trying to find the width of a rectangle that has an expanse of 24 square centimeters, and a length of 8 centimeters, your formula volition look like this:
     ${\displaystyle 24=8w}$

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3. three

   Solve for $$ w {\displaystyle westward} . To do this, you demand to dissever each side of the equation by the length.

4. four

   Write your last answer. Don't forget to include the unit of measurement.

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1. i

2. ii

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

3. 3

   Solve for $$ w {\displaystyle w} . To practise this, you need to decrease the length from each side of the equation, so divide by ii.

4. 4

   Write your final answer. Don't forget to include the unit of measurement of measurement.

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1. one

2. 2

   Plug the values for the diagonal and side length into the formula. Make certain yous substitute for the correct variables.

   • For example, if you are trying to find the width of a rectangle that has a diagonal length of 5 centimeters, and a side length of 4 centimeters, your formula will look like this: ${\displaystyle 5={\sqrt {due west^{two}+4^{2}}}}$

3. iii

   Square both sides of the formula. You lot need to do this to go rid of the square root sign, which makes isolating the width variable easier.

4. 4

   Isolate the $$ w {\displaystyle w} variable. To do this, y'all need to subtract the squared length from each side of the equation.

5. 5

   Solve for $$ w {\displaystyle w} . To do this, you need to find the foursquare root of each side of the equation.

6. vi

   Write your final answer. Don't forget to include the unit of measurement.

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1. 1

   Prepare the formula for expanse or perimeter of a rectangle. Which formula y'all use will depend on which measurement you lot are given. If you are given the area, set upward the area formula. If you are given the perimeter, ready the perimeter formula.

2. ii

   Write the expression that describes the relationship between the length and the width. Write your expression in terms of what ${\displaystyle l}$ equals.

   • The relationship might exist given by stating how many times bigger i side is than the other, or how many units more 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 so ${\displaystyle fifty=w+five}$ .

3. 3

   Replace the $$ l {\displaystyle l} variable in your expanse (or perimeter) formula with the expression for length. Your formula should now only contain the variable ${\displaystyle w}$ , which means you tin solve for the width.

4. 4

   Simplify the equation. Your simplified equation might accept on various forms, depending on the relationship between the length and the width, and depending on whether you lot are working with area or perimeter.^[7] Recall about setting up an equation that allows you to solve for ${\displaystyle w}$ in the simplest mode.

5. 5

   Solve for $$ w {\displaystyle due west} . Over again, how y'all solve for ${\displaystyle w}$ will depend on your simplified equation. Utilise the basic rules of algebra and geometry to solve.

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Add New Question

• Question

  How would I find width when I've been given volume, elevation, and length?

  

  Blankless X

  Community Reply

  You divide the volume by the top and the length. Yous could multiply the height and the length with each other get-go before dividing. W = 5 / (H*L).

• Question

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

  

  Let 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 discover the expanse of a rectangle if width and perimeter are given?

  

  Double the width, and decrease that from the perimeter. Then carve up that number by two, which gives you the length of the rectangle. So, multiply the result by the width to get the surface area.

• Question

  How practise I find the dimensions of a rectangle if the perimeter is 33 and the length equals twice the width?

  

  The length (l) is twice the width (w), and then l = 2w. The perimeter, or twice the length plus twice the width, is 33, so 2(2w) + 2w = 33. That ways 6w = 33; w = five½, and 2w = l = 11.

• Question

  Area = forty" and perimeter = 28"; how practise I find side lengths of a rectangle?

  

  Allow x and y be the dimensions of the rectangle. Then xy = 40, and 2x + 2y = 28. From the kickoff equation, x = forty/y. Substituting that value of x into the second equation, 2(forty/y) + 2y = (80/y) + 2y = 28. Multiply both sides of this equation past y to get rid of the denominator: 80 + 2y² = 28y. Divide by 2 to simplify: twoscore + y² = 14y. Subtract 14y from both sides to get naught on one side, and re-arrange slightly: y² - 14y + xl = 0. Factor the left side: (y - 10)(y - 4) = 0. Set each cistron equal to cipher to solve for y: y = 4, x. That means that one side of the rectangle is 4 inches in length, and the other side is x inches.

• Question

  The surface area is 77 1000^2, but all I know about the length is that information technology's 4 m longer than the width. How do I find the width?

  

  Set upward an equation in which the width (w) is multiplied by iv-more than-than-the-width (w + iv) to equal 77. Then solve for the width.

• Question

  How do I find side lengths of a rectangle if only surface area and perimeter are given?

  

  Let l and w be the length and width respectively. Set up equations in l and w for the perimeter and the expanse. Use either equation to solve for l in terms of w, or vice versa, then substitute that value of l into the other equation. That will give you the value of w. Use information technology in either equation to observe the value of l.

• Question

  One side of a square chessboard is 75 cm; how would I notice the surface area of the board?

  

  Square the side.

• Question

  If only area is given, how do I discover length and height?

  

  You cannot find length and width if all you're given is surface area.

• Question

  If I am given the area and width, how do I get the length?

  

  Divide area past width.

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Article Summary X

To notice 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 you don't have the area, you can use the rectangle's perimeter instead. In that instance, you would use the formula: perimeter = 2 × length plus two × width. Plug the perimeter and the length into the formula and solve for the width. To learn how to find the width of a rectangle using the diagonal and the length, scroll downwards!

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Source: https://www.wikihow.com/Find-the-Width-of-a-Rectangle

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