Question

Describe the stepwise method to find the area of a leaf using a graph paper.

Answer 1

Area of leaf using graph paper:

1. If the shape is given on graph paper, we can directly count the number of squares covered by that shape.
2. Otherwise, we need to draw the graph lines or square grids over the given irregular shape.

3. Let us count the squares that are completely covered, half covered and so on. Also, these can be marked as shown below:

4. Now, we need to write the number of squares that are covered by the shape.

Number assigned for covered portions	Portions of squares covered	Total
1	Fully covered squares	7
2	Half covered squares	0
3	More than half covered squares	7
4	Less than half covered squares	8

5. For fully covered square grids, we can take $1$ square unit for each.

6. For half-covered squares, we should assign $\frac{1}{2}$ square units for each.

7. If the square is covered more than half the portion, then assign $1$ square unit for each such portion.

8. If the square grid is covered less than half, then assign $0$ square units for each such portion.

9. Therefore, the area of the given shape,

$$\begin{gathered} area\left(A\right)=7\left(1\right)+0\left(\frac{1}{2}\right)+7\left(1\right)+8\left(0\right) \\ A=7+0+7+0 \\ A=14squareunits \end{gathered}$$

Hence, the area of the given irregular shape is $A=14squareunits$.