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Answer :

To find the surface of a figure we find the area of each face and sum them

then

Triangles

Area

[tex]\begin{gathered} A=\frac{b\times h}{2} \\ \\ A=\frac{20\times15}{2} \\ \\ A=150 \end{gathered}[/tex]

the area of one triangle is 150, the whole figure has 4 triangles, then the total area of the triangles face is

[tex]150\times4=600[/tex]

600 square feet

Squares

Area

[tex]\begin{gathered} A=l\times l \\ A=20\times20 \\ A=400 \end{gathered}[/tex]

area of a square is 400square feet, whole figure has 5 squares then

[tex]400\times5=2000[/tex]

the are of squares is 2000square feet

Total surface

we sum total area of the triangles an total area of the squares

[tex]600+2000=2600[/tex]

surface area of the figure is 2600square feet

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