Box Method for Calculating Area
method for calculating area of figures in the coordinate plane; subtract the areas of the right triangles surrounding the figure from the area of the box circumscribed about the figure (area of circumscribed rectangle – area of surrounding right triangles = area of figure)
The box method, also known as the area model, is a useful and commonly taught method for calculating the area of a rectangle. It involves breaking up the rectangle into smaller, easily calculable sections and then adding these sections together to get the total area.
To use the box method, follow these steps:
1. Draw a rectangle and label its length and width.
2. Divide the length and width of the rectangle into equal parts (for example, if the length is 10 units and the width is 6 units, you could divide each into 2 parts of 5 units and 3 units, respectively).
3. Draw lines to create boxes or squares within the rectangle. Each box should have sides that correspond to the divisions made in step 2.
4. Label each box with its length and width.
5. Calculate the area of each box by multiplying its length and width together.
6. Add up the areas of all the boxes to get the total area of the rectangle.
Using the box method can be especially helpful when dealing with larger or more complex rectangles, as breaking them down into smaller parts can make the calculations easier to manage. This method can also be extended to calculate the areas of more irregular shapes by breaking them up into smaller rectangles or squares.
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