Mathematics
The perimeter of a trapezium is 52 cm. If its non-parallel sides are 10 cm each and its altitude is 8 cm, find the area of the trapezium.
Area Trapezium Polygon
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Answer
The perimeter of a trapezium = 52 cm.
The altitude = 8 cm
Perimeter of the trapezium = AB + BC + CD + DA
⇒ 52 = AB + 10 + CD + 10
⇒ 52 = AB + CD + 20
⇒ AB + CD = 52 - 20
⇒ AB + CD = 32
⇒ Sum of parallel sides = 32
As we know, the area of a trapezium = x (sum of parallel sides) x height
= x 32 x 8 cm2
= x 256 cm2
= 128 cm2
Hence, the area of the trapezium is 128 cm2.
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