Mathematics

ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30 cm. Length of each side of parallelogram ABCD is :

  1. AB = 9.5 cm, DC = 9.5 cm, BC = 5.5 cm, DA = 5.5 cm

  2. AB = 9.5 cm, BC = 9.5 cm, DC = 5.5 cm, DA = 5.5 cm

  3. DC = 5.5 cm, BC = 5.5 cm, AB = 9.5 cm, AD = 9.5 cm

  4. none of these

Rectilinear Figures

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Answer

ABCD is a parallelogram in which AB = 9.5 cm and its perimeter is 30 cm. Length of each side of parallelogram ABCD is. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

In a parallelogram, opposite sides are equal in length.

AB = CD

BC = DA

Perimeter = 30 cm

We know that,

Perimeter of Parallelogram = 2(Length + Breadth)

30 = 2(9.5 + BC)

15 = (9.5 + BC)

BC = 15 - 9.5

BC = 5.5 cm

BC = AD = 5.5 cm.

AB = CD = 9.5 cm

Hence, option 1 is the correct option.

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