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Mathematics

A triangle and a parallelogram, both having base 5 cm, are situated between the same parallels. If the height of the triangle is 4 cm, then the area of the parallelogram is :

  1. 20 cm2

  2. 40 cm2

  3. 10 cm2

  4. 5 cm2

Theorems on Area

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Answer

Area of triangle = 12\dfrac{1}{2} × base × height

= 12\dfrac{1}{2} × 5 × 4

= 10 cm2

A triangle and a parallelogram, both have same base and are between the same parallels.

Area of triangle = 12\dfrac{1}{2} ar(∥gm ABCD)

10 = 12\dfrac{1}{2} ar(∥gm ABCD)

ar(∥gm ABCD) = 10(2)

ar(∥gm ABCD) = 20 cm2

Hence, option 1 is the correct option.

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