\begin{array}{l}
\text {Q1. The following figures are drawn on a squared paper. Count the number of squares enclosed by } \\
\text { each figure and find its area, taking the area of each square as } 1 \text { cm}^{2}. \\
\end{array}\begin{array}{l}
\text {Sol.(i) The given L shape has 16 complete squares.} \\
\text {Given that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the given L shape } =16 \times 1=16 \text { cm}^{2} \\ \\\text {(ii) The given cross shape has 36 complete squares. } \\
\text {Given that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the given cross shape } =36 \times 1=36 \text { cm}^{2} \\ \\\text {(iii) The given right angled triangle has 15 complete and 6 half squares.} \\
\text {Given that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the given right angled triangle shape }=15 + 6 \times \frac {1}{2}=18 \text { cm}^{2} \\ \\\text {(iv) The given parallelogram shape has 20 complete and 8 half squares. } \\
\text {Given that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the given parallelogram shape } =20 + 8 \frac {1}{2}=24 \text { cm}^{2} \\ \\\text {(v) The given triangle shape has 13 complete, 9 more than half and 6 less than half squares.} \\
\text {Given that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the given triangle shape }=13 + 8 \times 1 =22 \text { cm}^{2} \\ \\\text {(vi) The given hexagon shape has 8 complete, 6 more than half and 4 less than half squares.} \\
\text {Given that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the given shape }=8 + 6 \times 1 = 14 \text { cm}^{2} \\\end{array}
\begin{array}{l}
\text {Q2. On a squared paper, draw } \\
\text {(i) a rectangle, (ii) a triangle (iii) any irregular closed figure.} \\
\text {Find the approximate area of each by counting the number of squares complete, } \\
\text { more than half and exactly half.}
\end{array}\begin{array}{l}
\text {Sol. (i) The rectangle shape has 21 complete, 3 more than half and 8 less than half squares.} \\
\text {Lets assume that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the rectangle shape }=21 + 3 \times 1 =24 \text { cm}^{2} \\ \\
\end{array}\begin{array}{l}
\text {(ii) The triangle shape has 13 complete, 9 more than half and 6 less than half squares.} \\
\text {Lets assume that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the triangle shape }=13 + 8 \times 1 =22 \text { cm}^{2} \\ \\
\end{array}\begin{array}{l}
\text {(iii) The irregular close shape has 8 complete, 3 more than half and 10 less than half squares. } \\
\text {Lets assume that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the irregular close shape }=8 + 3 \times 1 =11 \text { cm}^{2} \\ \\
\end{array}\begin{array}{l}
\text {Q3. Draw any circle on the graph paper. Count the squares and use } \\
\text { them to estimate the area of the circular region.}
\end{array}\begin{array}{l}
\text {Sol. The circular shape has 13 complete, 6 more than half and 10 less than half squares.} \\
\text {Lets assume that area of one square }=1 \text { cm}^{2} \\
\therefore \text {Area of the circular shape }=13 + 6 \times 1 =19 \text { cm}^{2} \\ \\
\end{array}
