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Areas of Parallelograms and Triangles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSAreas of Parallelograms and Triangles1 Mark
Question
Write the correct answer of the following:
In Fig. if parallelogram ABCD and rectangle ABEF are of equal area, then:
  1. Perimeter of ABCD = Perimeter of ABEM.
  2. Perimeter of ABCD < Perimeter of ABEM.
  3. Perimeter of ABCD > Perimeter of ABEM.
  4. Perimeter of ABCD $=\frac{1}{2}$ (perimeter of ABEM).
✓

Answer

  1. Perimeter of ABCD > Perimeter of ABEM.
Solution:
If parallelogram ABCD and rectangle ABEM are of equal area, then perimeter of ABCD > Perimeter of ABEM because of all the line segments to a given line from a point outside it, the perpendicular is the least.

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