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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