Answer:
area of the figure = 22 units²
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × width
From the diagram , length = 3 units, width = 4 units , then
A = 3 × 4 = 12 units²
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Δ on left has b = 2 units and h = 4 units , then
A = [tex]\frac{1}{2}[/tex] × 2 × 4 = 1 × 4 = 4 units²
Δ on right has b = 3 units and h = 4 units , then
A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 1.5 × 4 = 6 units²
The area of the figure is then the sum of the 3 parts, that is
area of figure = 12 + 4 + 6 = 22 units²
