Question : The perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm, respectively, then what will be the area of the square?
Option 1: 72 cm2
Option 2: 98 cm2
Option 3: 81 cm2
Option 4: 64 cm2
Correct Answer: 81 cm 2
Solution : The length and the breadth of the rectangle are 10 cm and 8 cm. Perimeter of the rectangle = 2(Length + Breadth) = 2(10 + 8) = 36 cm Let the side of a square be $a$ cm. According to the question, 4$a$ = 36 ⇒ $a$ = 9 cm $\therefore$ Area of the square = $a^2$ = 9 2 = 81 cm 2 Hence, the correct answer is 81 cm 2 .
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