Example 2įind the area, in square metres, of a rectangle whoseī) length = 3 dm 6 cm, breadth = 2 dm 9 cm Since 2400 tiles completely cover the wall, therefore, Let the height of the wall be “h” metres. Therefore, area of 2400 tiles = 2400 x 500 cm 2 Length = Area / Breadth, Breadth = Area / Lengthįind the height of the wall whose length is 4m and which can be covered by 2400 tiles of size 25 cm by 20 cm.Īrea of tiles = (25 x 20) cm 2 = 500 cm 2 Since, Area of a rectangle = Length x Breadth, But, if only the length or breadth and area are given, is it possible to know the breadth of the rectangle? Let us find out.
We now know how to calculate the area if we have the length and the breadth of a rectangle. Taking too long to orchestrate the reasoning involved.The area of this rectangle is given by 8 7 7 = 56 cm 2.Īrea of a rectangle = length x breadth How to calculate the length and breadth of a rectangle using its area?.A correct way to say it would be, “The number of squares in one row is the same as the number of length units in the edge of the rectangle.” Maybe it sounds convoluted, but in mathematics, words mean things you have to combine the words into statements that are true, or at least not hostile to the distinction at hand. One book says, “The number of squares in one row is the same as the length in unit squares of the rectangle.” What is an object’s “length in unit squares”? Unit squares are area units, not length units. An example of this would be blurring the distinction between iterations of length units along the boundary and iterations of area units just inside the boundary. Being unclear about the difference between area and length.
You can’t relate two ideas you don’t grasp individually. Then it isn’t clear what a length measurement means, or what an area measurement means. Doing a poor job with basic measurement concepts.
Then the book has no chance of doing a proper job with area, or with anything else that relies on multiplication.
The reason the formula works has to do with what the × symbol means.