Answer:
44 in²
Step-by-step explanation:
The figure is composed of a triangle, a rectangle and a trapezium.
Area of the triangle = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 in²
Area of the rectangle = lb = 10 × 3 = 30 in²
Area of trapezium = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the height and a, b the parallel bases, thus
area of trapezium = [tex]\frac{1}{2}[/tex] × 2 × (5 + 3) = 1 × 8 = 8 in²
Total area = 6 in² + 30 in² + 8 in² = 44 in²
