In a rectangle ABCD, AB = 8cm,
BC =4 cm. Find the perimeter and
area.
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Answer:
Acc to the question, ABCD rectangle with AB=8cm, BC=16 cm and AE=4 cm.
Area of ΔBCE = 1/2 x base x height = 1/2 x 16 x 8 = 64cm².
Area of ΔABE = 1/2 x base x height = 1/2 x 4 x 8 = 16cm²
Area of ΔCDE = 1/2 x base x height = 1/2 x (16-4) x 8 = 48cm²
Sum of area of ΔABE and ΔCDE = 16cm² + 48cm² = 64cm².
Therefore, yes the area of ΔBEC equal to the sum of the area of DBAE and DCDE.
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