Question : The perimeter of a parallelogram is 48 cm. If the height of the parallelogram is 6 cm and the length of the adjacent side is 8 cm. Find its area.
Option 1: 90 cm2
Option 2: 80 cm2
Option 3: 84 cm2
Option 4: 96 cm2
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Correct Answer: 96 cm 2
Solution :
We have,
The perimeter, height, and the adjacent side of a parallelogram are 48 cm, 6 cm, and 8 cm.
Perimeter of a parallelogram = 2 (Adjacent side + Base)
⇒ 48 = 2 (8 + Base)
Or, base = 16 cm
We know, Area = Base × Height
So, Area = 16 cm × 6 cm = 96 cm
2
So, the area of the parallelogram is 96 cm
2
.
Hence, the correct answer is 96 cm
2
.
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