Answer:
60 cm²
Step-by-step explanation:
The shaded area is calculated as
area of trapezium - area of white triangle
The area (A) of trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 12, b₁ = 14 and b₂ = 10 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 10) = 6 × 24 = 144 cm²
The area (A ) of the white triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 14 and h = 12
A = [tex]\frac{1}{2}[/tex] × 14 × 12 = 7 × 12 = 84 cm²
shaded area = 144 - 84 = 60 cm²
