Answer:
A = 42 cm²
Step-by-step explanation:
We can split the shape into a rectangle and two triangles, such that:
For the rectangle: A = lw, where the length is 5 cm and the width is 6 cm.
so A = (5)(6) = 30 cm²
The two triangles are actually the same, so we just need to find out the area of one of the triangles: A = [tex]\frac{1}{2}[/tex] lw, where the length is 4 cm and the width is 3 cm.
so A = [tex]\frac{1}{2}[/tex] (4)(3) = 6 cm²
Total Area = Area of Rectangle + 2 (Area of Triangle)
Total Area = 30 + 2(6)
Total Area = 42 cm²
