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We know that every side of a square in the same length, and that the area is equal to the width times the height. Because this is a square, the width and height are equal, so area is equal to the length of one of the sides times itself, or the length of one of the sides squared. So, in order to find the length of one of the sides, you take the square root of the area. The length of the side is equal to both the width and the height. For example, if you have a square with an area of 9, take the square root of 9, which is 3. So the width of that square is 3.

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Q: How do we find the width of a square if you only have the area?
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Why is base times height divided by 2?

Because they derive the formula from the area of a square. A square is width x height (or base x height). If you cut the square into two equal triangles, you can get the area of only a single triangle by dividing by 2.


How do you find the area of a rectangle with only the width?

Measure...is the length twice the width or 3 times. If so, then just multiply that amount, then figure like normal.


What is the side length of a cube if the surface area is 54 square centimeters?

6 centimetres( to find surface area one must multiply height by height, width by width and length by length. Then you must add the products together and you get the surface area. To get the side lengths from a surface area you must reverse and divide it by 3[height,length and width]. In your case that would be 18. Then you must find a number that when multiplied by 3 equals the quotient of the first division{18} and there you have it 6). This only works on cubes.


How do you find volume when width and height is given?

Volume is a 3 dimensional attribute . Not only do you have to know the width and the height but also the length. If the width is, say, the diameter of a cylinder than you can easily find the area of the cross section (pi * r2) and multiply that by the height to get the volume.


How do you prove the formula for the area of a triangle?

Easiest wayDraw a three inch by three inch square. add lines at one inch marks to form a small grid. draw line diagonally across to form two triangles. count the number of squares in one triangle (remember the squares with the diagonal line are only half a square)Did you get 4 1/2?A X B divided by two 3 X 3= 9 / 2 = 4.5To arrive to the forumla for area of triangle, lets look at the area of square and rectanlge first: Area of square: side x side Area of rectangle: length x width Notice that the formulas for area of square and rectangle is very similar. The squre is a special case only, so there is not much difference. Let's take the special case first- area of square: Area= side x side If I want to find the area of a triangle from this square, you have to divide the square in half diagonally. This means: (side x side)/2 = area of triangle Let's take a look at retangle now: Area of rectangle: length x width Similarly like the square, you divide the rectangle diagonally by half. This means: (length x width)/2 Conclusion: Thus, area of triangle= (base x height)/2 The base can be considered as one of the sides of the rectangle/square, and the height can be considered as the other side of the rectangle/square. THE FORMULA OF TRIANGLE COMES FROM HALF THE AREA OF RECTANGLE/SQUARE! Visit quickanswerz.com for more math help and tutoring!Area is measured in square units. If we are given a region we divide the region into unit squares.Then we count the number squares, which is the area of the region.Consider a rectangle of length 10 units and width 5 units.The area of the rectangle is 50 square units.It is because we can divide the rectangle into 10 equal parts along the length.Similarly, we can divide the rectangle into 5 equal parts along the width. Now we have divided the entire rectangle into unit squares.If we count the number of squares we get 50 unit squares.We get this by multiplying the length and the width. Area = Length*Width square units.This is the same for a parallelogram too.Area of a parallelogram is base * height square unitsThis is how the concept of area has come.We can find the area of the triangle also.A rectangle or a parallelogram can be divided into two equal triangles by a diagonal.Half of the area of the rectangle(or parallelogram) gives the area of the triangle.In fact, we can extend any triangle into an parallelogram.So, we get the formula, area of a triangle = (base* height)/2 square units.Source: www.icoachmath.com

Related questions

How do you find the height and width knowing only the area?

If the shape is a square, find the square root of the area and that will be the height and the width. Otherwise, you would need to find out more than the area.


How do you find the height when you only have the total square feet and the width?

If you only have square feet, you won't be able to find the height, unless you're mistaking height for length. Area in square feet of a quadrilateral is width times length. To find the length, divide the area by the width.


How do you find length and width of a square showing only the height of the square?

the height is the same as the length and width


How do you find the area of a yard using the perimeter in square feet?

You can't only using the perimeter. You have to know length and width.


How do you find the length and width of a rectangle when you know the area?

you cannot do this; you have area only and two unknowns - lengthand width but only one equation: area = length x width


How do I find the area of a rectangle if I only have the length?

You cannot find the area of a rectangle if you only know its length. You need to know its width too. Then you multiply its length by its width.


How do i find the length and width if you only know the perimeter?

if it is a square...divide by 4 If it is not a square you cannot find the length and width because it can be short and wide or tall and narrow.


How do you find the length of a rectangle knowing ONLY the diagonal and the width?

You square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.


How do you find the area of a parallelogram with only the perimeter?

area is length times width


How do you find a square length when you only have the area?

The area of a square is the "length x width" but as these are equal we can put that the area = L2.....where L is the side length of the square. If the value of the area is known then the square root of this figure provides the side length. Example : Area = 36 sq cm, Length L = √36 = 6 cm.


How do you find length and width of a rectangle if only the square footage is known?

It is not possible.


How do you find the perimeter of a rectangle with only the width or length and the area given?

It not possible you nit witt that is not true length x width = area If you know length and area, solve width width = area / length then 2 x length + 2 x width = perimeter