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DIAGRAM:
GIVEN:
- Perimeter of trapezium = 104m
- Altitude of trapezium = 16m
- AD and BC are non parallel sides .
- AD = 18m and BC = 22m
TO FIND:
- Area of trapezium (ABCD)
SOLUTION:
Perimeter of trapezium = 104m
=> AB + BC + CD + AD = 104m
=> a + 22 + b + 18 = 104m
=> a + b + 22 + 18 = 104m
=> a + b + 64 = 104m
=> a + b = 104 - 64
=> a + b = 64
=> a + b = 64m
Area of trapezium = 1/2 (a+b) × h
= 1/2 (a+b) × h
= 1/2 (64) × 16
= 1024/2
= 512
= 512 m²
Therefore,Area of trapezium is 512 m²
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