Answer
16 cm²
Step-by-step explanation
The first thing is to find the length XP using pythagoras theorem.
a²=c²-b²
XP² = 10² - (4+2)²
= 100 - 36
= 64
XP =√64
= 8 cm
Area of the shaded = (Area of ΔXYP) - (Area of ΔXZP)
Area of a triangle = 1/2 base length × height
Area of ΔXYP = 1/2 × (4+2) ×8
= 1/2 × 6×8
= 24 cm²
Area of ΔXZP = 1/2 × 2 × 8
= 8 cm²
Rea of the shaded = 24 - 8
= 16 cm²