Answer:
67.5 square units
Step-by-step explanation:
Formulae
[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]
(where b is the base and h is the height)
[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]
(where a and b are the bases, and h is the height)
Solution
We can divide this shape into a triangle and a trapezoid.
[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]
[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]
Therefore:
Area of shape = 35 + 32.5 = 67.5 square units
