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ICSE-VIII-Mathematics

20: Area of Trapezium and a Polygon Class 8 Maths

with Solutions - page 5
Qstn# C-8 Prvs-QstnNext-Qstn
  • #8
    The perimeter of a rhombus is 40 cm. If one diagonal is 16 cm; find : (i) its another diagonal (ii) area (i) its another diagonal (ii) area
    Ans : (i) Perimeter of rhombus = 40 cm
    side = ¼ ×40 = 10 cm
    One diagonal = 16 cm
    Diagonals of rhombus bisect each other at right angles.


    ∴ Diagonal BD = 6 × 2 = 12 cm (ii) Area of rhombus = ½ × product of diagonals
    = ½ × 12 × 16
    = 96 cm2
    ∴ (i) 12 cm(ii) 96 cm2 (i) Perimeter of rhombus = 40 cm
    side = ¼ ×40 = 10 cm
    One diagonal = 16 cm
    Diagonals of rhombus bisect each other at right angles.


    ∴ Diagonal BD = 6 × 2 = 12 cm (ii) Area of rhombus = ½ × product of diagonals
    = ½ × 12 × 16
    = 96 cm2
    ∴ (i) 12 cm(ii) 96 cm2
  • #8-i
    its another diagonal
    Ans : Perimeter of rhombus = 40 cm
    side = ¼ ×40 = 10 cm
    One diagonal = 16 cm
    Diagonals of rhombus bisect each other at right angles.


    ∴ Diagonal BD = 6 × 2 = 12 cm
  • #8-ii
    area
    Ans : Area of rhombus = ½ × product of diagonals
    = ½ × 12 × 16
    = 96 cm2
    ∴ (i) 12 cm(ii) 96 cm2