In Q1, if AD = 6 cm, CF = 10 cm, and AE = 8 cm, Find AB.

Question:

In Q1, if AD = 6 cm, CF = 10 cm, and AE = 8 cm, Find AB.

Solution:

We know that,

Area of a parallelogram ABCD = AD × CF ⋅⋅⋅⋅⋅⋅ (1)

Again area of parallelogram ABCD = CD × AE⋅⋅⋅⋅⋅⋅ (2)

Compare equation (1) and equation (2)

AD × CF = CD × AE

⇒ 6 × 10 = D × 8

⇒ D = 60/8 = 7.5 cm

∴ AB = DC = 7.5 cm     [∵ Opposite side of a parallelogram are equal]

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