Resources for Composite Areas and Problems on Areas
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Questions
5
With Worked SolutionClick Here -
Video Tutorials
2
Click Here
Composite Areas and Problems on Areas Theory
![\begin{multicols}{2} \textbf{Example 1}\\ Find the area of the composite shape. \begin{center} \begin{tikzpicture} \draw[line width=1pt] (0,0)--(4,0)node[below,midway] {\(7\)}--(4,1.5)node[right,midway] {\(3\)}; \draw[line width=1pt] (0,0)--(0,1.5); \draw[line width=1pt,dashed] (4,1.5)--(0,1.5); \draw[line width=1pt] (0,1.5)--(2,3.3)--(4,1.5); \draw[latex-latex,line width=1pt,dashed] (2,1.5)--(2,3.3) node[right,midway] {\(4\)}; \end{tikzpicture} \end{center} \textbf{Example 1 solution}\\ \(\begin{aligned} \text { Area of rectangle } & =7 \times 3 \\ & =21 \text{ u}^2 \end{aligned}\)\\ \(\begin{aligned} \text { Area of triangle } & =\frac{1}{2} \times 7 \times 4 \\ & =\frac{1}{2} \times 4 \times 7 \\ & =2 \times 7 \\ & =14 \text{ u}^2 \end{aligned}\)\\ \(\begin{aligned} \text { Area of shape } & =21+14 \\ & =35 \text{ u}^2\end{aligned}\) \columnbreak \textbf{Example 2}\\ Find the area of the composite shape. \begin{center} \begin{tikzpicture}[scale=0.5,line width=1pt] \draw[line width=1pt,fill=blue!30] (0,0)--(0,6)node[left,midway] {\(6\)}--(8,6)node[above,midway] {\(8\)}--(8,0)--(6.5,4)--(1.5,4)node[above,midway] {\(5\)}--(0,0); \draw[line width=1pt,dashed] (0,0)--(8,0); \draw[latex-latex,line width=1pt,dashed] (1.5,4)--(1.5,0) node[right,midway] {\(4\)}; \end{tikzpicture} \end{center} \textbf{Example 2 solution}\\ \(\begin{aligned} \text { Area of rectangle } & =8 \times 6 \\ & =48 \text{u}^2\end{aligned}\)\\ \(\begin{aligned} \text { Area of trapezium } & =\frac{1}{2} \times 4(5+8) \\ & =2 \times 13 \\ & =26 \text{u}^2\end{aligned}\)\\ \(\begin{aligned} \therefore \text { Area of shape } & =48-26 \\ & =22 u^2\end{aligned}\) \end{multicols}](/media/ge3a4vr1/7958.png)