The perimeter is 100 cm, so the semi-perimeter (L + B) = 50 cm.<br><br>
&bull; Length : Breadth = 16 : 9 → total units for L + B = 16 + 9 = 25<br>
&bull; 1 unit = 50 ÷ 25 = 2 cm<br>
&bull; Length = 16 × 2 = 32 cm<br>
&bull; Breadth = 9 × 2 = 18 cm<br>
&bull; Area = 32 × 18 = 576 cm<sup>2</sup><br>
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Final Answer: 576 cm<sup>2</sup>