a Given:-
A image.
To find the total area of the given image.
So the given image is splitted into three images they are a triangle at the top and a rectangle at the middle and parallelogram at the bottom.
So the formula for triangle is,
[tex]A=\frac{1}{2}\times b\times h[/tex]So the formula for rectangle is,
[tex]A=l\times b[/tex]So the formula for parallogram is,
[tex]A=b\times h[/tex]So from the given image we have the values as,
Triangle has,
[tex]b=3,h=4[/tex]Rectangle has,
[tex]l=10,b=3[/tex]Paralleogram has,
[tex]b=5,h=2[/tex]So now we substitute the following values. so we get,
For Triangle,
[tex]\begin{gathered} A=\frac{1}{2}\times3\times4 \\ A=3\times2 \\ A=6 \end{gathered}[/tex]For Rectangle,
[tex]\begin{gathered} A=10\times3 \\ A=30 \end{gathered}[/tex]For paralleogram,
[tex]\begin{gathered} A=5\times2 \\ A=10 \end{gathered}[/tex]So the total area is,
[tex]\begin{gathered} A=6+30+10 \\ A=46 \end{gathered}[/tex]So the total area is 46 in.sq.