Question

ONE side and corresponding altitude of a parallelogram are 50 cm and 8 cm if the other altitude is 4 cm find the length of the Other pairs of parallel side

Answer 1

See the attached file

Answer 2

[Figure is in the attachment]


Let ABCD be the parallelogram.

AM be the altitude corresponding to the base CD and CN be the altitude corresponding to the base AD.

It is given AM = 8 cm, CD = 50 cm and CN = 4 cm.

Area of parallelogram = base × corresponding height

Area of parallelogram ABCD = CD × AM

Area of parallelogram ABCD = (50 × 8) …... ...(1)

Area of parallelogram ABCD = AD × CN

Area of parallelogram ABCD = AD × 4 cm² …...…...(2)

Put the value of eq (1) in eq (2)

50 × 8 = AD × 4

AD = 400/4

AD= 100 cm

Hence, length of the other pair of parallel side is 10 cm.

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Hope this will help you...