ICSE-VIII-Mathematics

20: Area of Trapezium and a Polygon Class 8 Maths

with Solutions - page 5
  • #5
    A parallelogram has sides of 20 cm and 30 cm. If the distance between its shorter sides is 15 cm; find the distance between the longer sides.
    Ans : Let ABCD be the ∥gm in which BC = 30 cm and CD = 20 cm
    Distance between shorter sides,
    i.e., CQ = 15 cm
    ∴ area of ∥gm = AB × CQ
    = 20 × 15
    = 300 cm2
    Again BC × AP = Area of ∥gm
    30 × AP = 300
    ⇒ AP = 300/30
    ⇒ AP = 10 cm
    ∴ Distance between larger sides is = 10 cm