why the area of rectangle is length*breadth?

Answer 1

to prove it, I would need you to understand the theory of integration, and it's university level...
Let's say it's because we chose to calculate the area in an euclidian space...


Now, if what you want is only to understand vaguely why it's width*length, then please divide your rectangle in squares of 1 per 1. those squares have an area of 1 (this is how area is defined). Now count the numbers of square... you have length*width squares...

Answer 2

Understand the Calculation of length and breadth of Rectangle.

Click on the Link to Watch the VIDEO explanation: http://bit.ly/1xxOSYG

Numerical
The length and the breadth of a rectangular field are in the ratio 4:3. A path of uniform width 1 m, runs all around the field on the outside. If the area of the path is 382 m2, find the dimensions of the field.
Solution:
Let the H.C.F. of the length and the breadth of the field be x. key in the value of length in the text box and click on OK to check your typed value. Else click on SOLVE button to get the value.
Similarly,
Go ahead and entre the Value of the breadth of the field. The length and breadth of the outer rectangle.
Area of the path is equal to the difference between the Area of outer rectangle and Area of inner rectangle.
Substituting the values we get
14x = 378
Now calculate the value of x
Therefore the value of x is equal to 27.
substitute the value of x is equal to 27 and calculate the length and breadth.

Answer 3

L*B=A(Triangle) L*W=A(Rectangle)
area of a rectangle is length times width. in a triangle you don't have a true height unless you use the breadth. if you cut the triangle at the breadth, you can swap the two sides and it will make a rectangle, and you can better see the reasoning.

Answer 4

Divide the rectangle into 1 unit (inch, foot, meter, kilometer) boxes and the number of boxes is equal to the number of units in the width times the number of units in the height (think of the rows and columns of an Excel spreadsheet - six rows of cells by three columns of cells = 18 cells).

BTW - the area of a triangle is 1/2 (Base X Height), not just Base X Height - that's a rectangle, because every triangle is 1/2 of a rectangle.

Answer 5

How do you know what a rectangle is except by it's boundaries? If the boundaries are labeled length and width and you know what they measure you know the size of the rectangle because you know it's boundaries.

Answer 6

divide the rectangle into squares with unit side.there will be 'l' squares lengthwise and 'b' squares breadth wise.the total no of
squares will be l*b.since the area of one square is 1 square unit the area of the rectangle will be 'lb' square units

Answer 7

Go ask Euclid.