On a squared paper, draw the following. Find the approximate area of each by counting the number of squares complete, more than half and exactly half.

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Solution

Any irregular figure: This figure consists of 10 complete squares, 1 exactly half square, 7 more than half squares and 6 less than half squares.

If we assume that the area of one complete square is 1 cm $^{2}$

then the area of this shape $= (10 + 1 \times 0.5 + 6 \times 0 + 7 \times 1) = 17.5 c m^{2}$

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Similar questions

Q. On a squared paper, draw (i) a rectangle, (ii) a triangle (iii) any irregular closed figure. Find the approximate area of each by counting the number of squares complete, more than half and exactly half.

Q. The following figures are drawn on a squared paper. Count the number of squares enclosed by each figure and find its area, taking the area of each squares as 1 cm². (Fig.20.25).

Q. How much is the space occupied by the figure, if the area of each grid is

2 c m^{2}

Assumptions to be considered while counting grids:

∙

1 complete grid = 1 full grid

∙

More than half grid = 1 full grid

∙

Less than half grid = 0 grid

∙

Exactly half grid = 0.5 grid

A figure, on a grid paper of grids $1$ sq mm each, occupies $60$ complete grids, $20$ exactly half grids and $60$ more than half grids. What is the total space occupied by the figure?