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In the adjoining figure given below, two isosceles right angled triangles, \( D E F \) and \( H G I \) are on the same base \( \overline{D H} \) and \( \overline{D H} \) is parallel to \( \overline{F I} \). If \( D E=G H=9 \mathrm{~cm} \) and \( D H=20 \) \( \mathrm{cm} \), then the area of the quadrilateral \( F E G I \) is
(a) \( 99 \mathrm{~cm}^{2} \)
(b) \( 40.5 \mathrm{~cm}^{2} \)
(c) \( 81 \mathrm{~cm}^{2} \)
(d) \( 180 \mathrm{~cm}^{2} \)
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