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Mathematics

ABCD is a parallelogram. If AB = 3.6 cm and altitude corresponding to sides AB and AD are respectively 5 cm and 4 cm, then AD will be :

  1. 5.5 cm

  2. 3.5 cm

  3. 2.5 cm

  4. 4.5 cm

Theorems on Area

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Answer

ABCD is a parallelogram. If AB = 3.6 cm and altitude corresponding to sides AB and AD are respectively 5 cm and 4 cm, then AD will be. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

We know that,

Area of ∥gm = Base × Height

Area of ∥gm ABCD using base AB = 3.6 × 5 = 18 cm2

Area of ∥gm ABCD using base AD = AD × 4

18 = AD × 4

AD = 184\dfrac{18}{4}

AD = 4.5 cm.

Hence, option 4 is the correct option.

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