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?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 81 cm2.
Given that
The perimeter of a rectangle is equal to the perimeter of a square
the length and the breadth of the rectangle are 10 cm and 8 cm, respectively
We know that,
The perimeter of a rectangle = 2(length + breadth)
The perimeter of a square = 4 × side of the square
Now,
⇒ 2(l + b) = 4 × side
⇒ 4 × side = 2 (10 + 8) = 36
⇒ side = 36/4 = 9 cm
Hence, the area of a square = side2 = 9 × 9 = 81 cm2