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Why does length X width equal area?

Updated: 4/28/2022
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13y ago

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Well, that's not always the case; this is only fact when dealing with a rectangle. You see, when you have length l you have the basic foundation of said shape. Then, by multiplying by width w you are basically copying the length by w amount of times. Just picture it as a grid; it helps.

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Q: Why does length X width equal area?
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Is length x width area?

my idea is that to find the area of a 2 dimensional figure you have to multiply length *width which equal the area except a triangle and some other figure


How do you calculate the top dimensions of a rectangle if you know its perimeter and bottom area?

Important to note are these formulae: Perimeter_of_rectangle = 2 x (length + width) Area_of_rectangle = length x width So if the perimeter and area are known, then: 2 x (length + width) = perimeter => length + width = perimeter / 2 => length = perimeter / 2 - width length x width = area => (perimeter / 2 - width) x width = area (substituting for length given above) => perimeter / 2 x width - width2 = area => width2 - perimeter / 2 x width + area = 0 which is a quadratic and can be solved either by factorization or by using the formula: width = (perimeter / 2 +/- sqrt(perimeter2 / 4 - 4 x area)) / 2 = (perimeter +/- sqrt(perimeter2 - 16 x area)) / 4 This will provide two values for the width. However, each of these values is the length for the other, so the larger value is the length and the smaller value is the width. Sometimes only 1 value will be found for the width above. In this case, the rectangle is actually a square which means that the length and width are both the same. Examples: 1. perimeter = 6, area = 2 width2 - perimeter / 2 x width + area = 0 => width2 - 6 / 2 x width + 2 = 0 => width2 - 3 x width + 2 = 0 => (width - 2) x (width - 1) = 0 => width = 2 or 1. So the length is 2 and the width is 1. 2. perimeter = 12, area = 9 width2 - perimeter / 2 x width + area = 0 => width2 - 12 / 2 x width + 9 = 0 => width2 - 6 x width + 9 = 0 => (width - 3)2 = 0 => width = 3 So the rectangle is a square with both length and width of 3.


How do you figure out the area of a rectangle?

Area = length x width


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

the area of a rectangle = length x widthwe can rearrange this to give uslength of a rectangle = area/ width


What is the expression to find the area of rectangle?

Area=Length X Width

Related questions

How does perimeter relate to area?

The perimeter is equal to length + length + width + width while area is length x width. Both measurements are found by using width and length.


Does area equal length times width times height?

Area is l (length) x w (width), Volume is measured with l (length) x w (width) x h (height).


How do you you get the length if you have the area and the width?

Area = length x width Length = area/width


What is the perimeter of a square that has an area of 81 meters square?

36, area is equal to length X width, perimeter is equal to 2(length)+2(width) in a square length is equal to width, so we take the square root of the area to find that both are 9, which means the perimeter is 9 X 4, 36.


What is the area of a rectangle that is 3 by 5?

the area is equal to the width X the length or, in this case, 15.


What is area of a rectangular?

The area of a rectangle is equal to its length times it width. A = l x w


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

Perimeter: Add the length of the four sides. Area: Multiply length x width.


Is length x width area?

my idea is that to find the area of a 2 dimensional figure you have to multiply length *width which equal the area except a triangle and some other figure


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


How do you find the height of a box given the width depth and surface area?

divide surface area by width Sorry It is a little more complicated than that. Surface area = (2 X length X width) + (2 X length X height) + (2 X width X height) Solve for height Surface area - (2 X length X width) = 2height(length + width) (Surface area - (2 X length X width))/2(length + width) = height


How does length and width relate to area?

area of a rectangle = length x width


How can you calculate the area of a square when you know only its length?

The area of a rectangle is length x width. Since in the case of a square, both are equal, you simply multiply length x length.