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Mathematics

A triangle, a parallelogram and a rectangle have the same base and are situated between the same parallels. The ratio of their areas is :

  1. 2 : 1 : 2

  2. 2 : 2 : 1

  3. 1 : 2 : 3

  4. 1 : 2 : 2

Theorems on Area

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Answer

Let the common base be b and the common height be h.

Area of triangle = 12\dfrac{1}{2} × ​b × h

Area of parallelogram = ​b × h

Area of rectangle = ​b × h

Ratio of areas of triangle, parallelogram and rectangle:

= 12\dfrac{1}{2} × ​b × h : ​b × h : ​b × h

= 1 : 2 : 2.

Hence, option 4 is the correct option.

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