The deck is the shape of a trapezium.
The perpendicular distance between the sides, h=3 m.
The length of parallel sides, l1=4 m, l2=6 m.
The area of a trapezium shaped deck is,
[tex]\begin{gathered} A=\frac{1}{2}(l_1+l_2)h \\ A=\frac{1}{2}(4+6)\times3 \\ A=\frac{1}{2}\times10\times3 \\ A=15m^2 \end{gathered}[/tex]
Therefore, the area of the deck is 15 square meters.
