In parallelogram

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram ABCDABCD, EE is the midpoint of ABAB and FF is the midpoint of ADAD. Quadrilateral EBFCEBFC is formed by joining E ⁣BE\!B, B ⁣CB\!C, C ⁣FC\!F and F ⁣EF\!E. What fraction of the area of parallelogram ABCDABCD is the area of quadrilateral EBFCEBFC? (a) 12\dfrac12 (b) 58\dfrac58 (c) 34\dfrac34 (d) 14\dfrac14

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