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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


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

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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