Verified Answer :

for irregular shapes, simply cut the shapes into recognizable shapes like square, rectangle, triangle. Solve the area of each shape and add it up to get the total area of the irregular shape.

1) rectangle 1 = 5cm 3cm = 15cm²
    rectangle 2 = 2cm
4cm =   8cm²
    15cm² + 8cm² = 23 cm²   

2) rectangle 1 = 9cm (10cm-6cm) = 9cm 4cm = 36cm²
    rectangle 2 = 6cm 2cm = 12cm²
    36cm² + 12cm² = 48cm²

3) square 1 = (2cm)² = 4cm²
    square 2 = (4cm)² = 16cm²
    shaded area only. subtraction performed.
    16cm² - 4cm² = 12cm²

4) square = (10cm)² = 100cm
    triangle = (10cm
10cm)/2 = 100cm² / 2 = 50cm²
    100cm² + 50cm² = 150cm²

5) rectangle 1 = 4mm 3mm = 12mm²
    rectangle 2 = 8mm
10mm = 80mm²
    12mm² + 80mm² = 92mm²