Question
Find the equation to find the total area of the given figure.
- 3 x 2 = 3 x (2 + 2) = (3 x 2) + (3 x 2)
- 2 x 6 = 2 x (2 + 4) = (2 x 2) + (2 x 4)
- 3 x 6 = 3 x (4 + 4) = (3 x 4) + (3 x 4)
- 3 x 6 = 3 x (2 + 4) = (3 x 2) + (3 x 4)
Hint:
We are given a figure. It is made up from small circles of same size. There are two colors, blue and green. We have to find the total area of the figure.
The correct answer is: 3 x 6 = 3 x (2 + 4) = (3 x 2) + (3 x 4)
We will consider rows and columns.
There are total 3 rows and 6 columns of the circles.
There are two different colors for the column.
We will consider one circles as one unit.
There are 6 units for a row. And, there are three units for a column.
From that 6 units have two colors, 2 for blue and 4 for green.
Area = number of columns × number of rows
= 6 × 3
= 3 × (2 + 4)
Area of blue circles = number of columns × number of rows
= 2 × 3
Area of green circles = number of columns × number of rows
= 4 × 3
Area = Area of blue circles + Area of green circles
6 × 3 = 2 × 3 + 4 × 3
3 × 6 = 3 × (2 + 4) = 2 × 3 + 4 × 3
For such questions, we should know distributive property.
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