Answer:
141[tex]in^{2}[/tex]
Step-by-step explanation:
Area of a trapezium = [tex]\frac{h}{2}[/tex](a + b)
h = height
a and b = upper and and lower lengths
Area of a trapezium = [tex]\frac{9}{2}[/tex](10 + 16)
= [tex]\frac{9}{2}[/tex] × 26
= 117[tex]in^{2}[/tex]
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
= [tex]\frac{1}{2}[/tex] × 6 × 8
= [tex]\frac{1}{2}[/tex] × 48
= 24[tex]in^{2}[/tex]
Total area = Sum of the areas of both the shapes
= 117 + 24
= 141[tex]in^{2}[/tex]
