how to find dimensions of a rectangle

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There are numerous ways to find a missing dimension of a rectangle, and the method you use will depend on what data yous already have. As long every bit y'all know the area or perimeter, as well as the length of one side of the rectangle (or the relationship between the length and width), y'all tin can notice a missing dimension. The properties of a rectangle are such that yous can use these methods for finding the width or length.

1. ane

2. two

   Plug the values for area and length into the formula. Brand certain you substitute for the correct variables.

   • For example, if y'all are trying to find the width of a rectangle that has an surface area of 24 square centimeters, and a length of viii centimeters, your formula will look similar this:
     ${\displaystyle 24=8w}$

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3. 3

   Solve for $$ w {\displaystyle w} . To do this, y'all need to separate each side of the equation past the length.

4. iv

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

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1. ane

2. 2

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

3. 3

   Solve for $$ due west {\displaystyle w} . To do this, you need to subtract the length from each side of the equation, then divide past 2.

4. 4

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

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1. 1

2. 2

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

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

3. 3

   Square both sides of the formula. Yous need to practise this to get rid of the foursquare root sign, which makes isolating the width variable easier.

4. four

   Isolate the $$ due west {\displaystyle west} variable. To do this, you need to subtract the squared length from each side of the equation.

5. 5

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

6. 6

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

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1. one

   Set upwardly the formula for area or perimeter of a rectangle. Which formula you use will depend on which measurement yous are given. If you are given the expanse, set upwards the expanse formula. If yous are given the perimeter, ready the perimeter formula.

2. 2

   Write the expression that describes the relationship between the length and the width. Write your expression in terms of what ${\displaystyle 50}$ equals.

   • The human relationship might be given by stating how many times bigger one side is than the other, or how many units more or less information technology is.
   • For case, yous might know that the length is five centimeters longer than the width. Your expression for the length is and then ${\displaystyle l=due west+5}$ .

3. 3

   Replace the $$ l {\displaystyle l} variable in your area (or perimeter) formula with the expression for length. Your formula should now only comprise the variable ${\displaystyle west}$ , which means you can solve for the width.

4. iv

   Simplify the equation. Your simplified equation might take on diverse forms, depending on the relationship between the length and the width, and depending on whether you lot are working with area or perimeter.^[vii] Think about setting upwards an equation that allows you to solve for ${\displaystyle westward}$ in the simplest way.

5. 5

   Solve for $$ w {\displaystyle w} . Again, how you solve for ${\displaystyle west}$ will depend on your simplified equation. Use the basic rules of algebra and geometry to solve.

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• Question

  How would I find width when I've been given book, height, and length?

  

  Blankless X

  Community Answer

  You lot split up the volume by the height and the length. Yous could multiply the top and the length with each other showtime earlier dividing. W = V / (H*L).

• Question

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

  

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

• Question

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

  

  Double the width, and subtract that from the perimeter. Then divide that number by two, which gives you the length of the rectangle. And so, multiply the upshot by the width to get the expanse.

• Question

  How exercise I observe 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 means 6w = 33; west = v½, and 2w = l = 11.

• Question

  Area = 40" and perimeter = 28"; how exercise I detect side lengths of a rectangle?

  

  Let ten and y be the dimensions of the rectangle. Then xy = twoscore, and 2x + 2y = 28. From the showtime equation, 10 = 40/y. Substituting that value of x into the second equation, 2(40/y) + 2y = (eighty/y) + 2y = 28. Multiply both sides of this equation past y to go rid of the denominator: fourscore + 2y² = 28y. Divide by ii to simplify: 40 + y² = 14y. Subtract 14y from both sides to get zero on ane side, and re-conform slightly: y² - 14y + twoscore = 0. Factor the left side: (y - 10)(y - iv) = 0. Set each factor equal to zero to solve for y: y = four, 10. That means that one side of the rectangle is 4 inches in length, and the other side is x inches.

• Question

  The area is 77 chiliad^2, but all I know virtually the length is that it's 4 m longer than the width. How exercise I find the width?

  

  Set an equation in which the width (w) is multiplied past four-more-than-the-width (westward + 4) to equal 77. And then solve for the width.

• Question

  How practise I detect side lengths of a rectangle if simply surface area and perimeter are given?

  

  Let l and w exist the length and width respectively. Fix upward equations in 50 and westward 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 westward. Apply it in either equation to detect the value of fifty.

• Question

  One side of a square chessboard is 75 cm; how would I find the area of the lath?

  

  Square the side.

• Question

  If only area is given, how practise I find length and height?

  

  You lot cannot observe length and width if all you're given is area.

• Question

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

  

  Dissever area by width.

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About This Article

Article Summary X

To find the width of a rectangle, use the formula: area = length × width. Only plug the expanse and length of the rectangle into the formula and solve for the width. If you don't take the surface area, you tin can use the rectangle's perimeter instead. In that case, you would utilise the formula: perimeter = 2 × length plus 2 × width. Plug the perimeter and the length into the formula and solve for the width. To learn how to detect the width of a rectangle using the diagonal and the length, scroll down!

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