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The base of the parallelogram is thrice its height. If the area is 192 cm², find the base and height.
- A21 cm, 14 cm
- B25 am, 4 cm
- C24 cm, 8 cm
- D32 cm, 10 cm
Correct answer: C
Discussion 1
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CCommunity
24 cm, 8 cm
Let the height of the parallelogram = x cm
then the base of the parallelogram = 3x cm
Area of the parallelogram = 192 cm²
Area of parallelogram = base × height
192 = 3x × x
⇒ 3x² = 192
⇒ x² = 64
⇒ x = 8
Therefore, 3x = 3 × 8 = 24
Therefore, Base of the parallelogram is 24 cm and height is 8 cm.
Let the height of the parallelogram = x cm
then the base of the parallelogram = 3x cm
Area of the parallelogram = 192 cm²
Area of parallelogram = base × height
192 = 3x × x
⇒ 3x² = 192
⇒ x² = 64
⇒ x = 8
Therefore, 3x = 3 × 8 = 24
Therefore, Base of the parallelogram is 24 cm and height is 8 cm.