Answer:
Given, a side of a square =15 cm We know that, the perimeter of a square \[=4\times \] Side of a square \[=4\times 15\text{ }cm=60\text{ }cm\] Here, Length of a rectangle = 18 cm \[\therefore \] Perimeter of a rectangle \[=2\times \] (Length + Breadth) = 2 (18 + Breadth) According to the question, Perimeter of a square = Perimeter of a rectangle \[\therefore \] 60 = 2 (18 + Breadth) \[\frac{60}{2}=\] (18 + Breadth) \[\Rightarrow \] 18 + Breadth = 30 \[\therefore \] Breadth = 30 - 18 = 12 cm Now, area of the rectangle = Length \[\times \] Breadth \[=18\times 12=216\text{ }sq.\text{ }cm\] Hence, the area of the rectangle is 216 sq cm.
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