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Find the area of the shape shown below. 7 3

Sagot :

To find the area of the figure you can divide the figure into to smaller shapes

calculate the area of each of the smaller figures.

for the square

[tex]\begin{gathered} A=s\cdot s \\ A=3\cdot3 \\ A=9 \end{gathered}[/tex]

For the triangle the base is the difference between the longest side which is 7 and the side on the square which is 3

[tex]7-3=4[/tex]

find the area of the triangle

[tex]A=b\cdot\frac{h}{2}[/tex][tex]\begin{gathered} A=4\cdot\frac{3}{2} \\ A=\frac{12}{2} \\ A=6 \end{gathered}[/tex]

Add both areas to find the area of the figure

[tex]\begin{gathered} A_T=9+6 \\ A_T=15 \end{gathered}[/tex]

View image JenasysP108945