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Verified answer
EF² = AB² + (AE - BF)²= (4 cm)² + (8 cm² - 5 cm²)
= (4 cm)² + (3 cm)²
= 16 cm² + 9 cm²
= 25 cm²
EF = √(25 cm²)
= 5 cm
Lp = L ABFE + L DCGH + L BCGF + L ADHE + L ABCD + L EFGH
= (5 cm × 8 cm)/2 + (5 cm × 8 cm)/2 + (5 cm × 5 cm) + (5 cm × 8 cm) + (4 cm × 5 cm) + (5 cm × 5 cm)
= 20 cm² + 20 cm² + 25 cm² + 40 cm² + 20 cm² + 25 cm²
= 150 cm²