\( \triangle A B C \) is an isosceles triangle in which \( A B=A C . D \) and \( E \) are the mi...

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\( \triangle A B C \) is an isosceles triangle in which \( A B=A C . D \) and \( E \) are the mid-points of sides \( A B \) and \( A C \), respectively. If \( A D=4.5 \) \( \mathrm{cm} \) and \( D E=3.5 \mathrm{~cm} \), then the perimeter of \( \triangle A B C \) is
(a) \( 16 \mathrm{~cm} \)
(b) \( 25 \mathrm{~cm} \)
(c) \( 36 \mathrm{~cm} \)
(d) \( 42 \mathrm{~cm} \)
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