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]