35cm²
Step-by-step explanation:
This is a composite shape so break it down into its individual shapes and get their areas then add them up to find the shape's total area.
Area of Triangle:
= 1/2 * base * height
= 1/2 * 8 * 5.75
= 23 cm²
Base = 4 + 4 = 8cm
Area of the Trapezium
= (a + b) / 2 * height
a is top length
b is bottom length
= (4 + 8) / 2 * 2
= 12 cm²
Add them up:
= 23 + 12
= 35cm²