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In a Parallelogram the altitude is twice the length of the base,its area is 450cm². find the Length of the base and altitude. |
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Answer» Step-by-step explanation:ALTITUDE is twice the length of the BASEAREA = 450 cm²Length of the baseLength of the altitude➔ We are given that the atitude is twice the length of the base.➔ Let the base of the parallelogram be b.➔ HENCE by given, Altitude = 2 × base Altitude = 2b➔ Now we know that area of a parallelogram is given by, Area of parallelogram = b × h where b = base h = altitude➔ SUBSTITUTE the data, b × 2b = 450 2b² = 450 b² = 450/2 b² = 225 b = √225 b = 15➔ Hence base of the parallelogram is 15 cm. ➔ Now altitude of the parallelogram is given by, Altitude = 2b Altitude = 2 × 15 Altitude = 30 cm➔ Hence altitude of the parallelogram is 30 cm. |
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