The area of a square and a rectangle are equal. The length of the rectangle is greater than the side of a square by 5 cm and its breadth is less than the side of square by 4 cm. What will be the perimeter of the rectangle?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 82 cm.
| Understanding/Application |
|
Let side of square = x cm Length of rectangle = (x + 5) cm and breadth = (x - 4) cm Area of square = Area of rectangle x2 = (x + 5) (x - 4) |
|
x2 = x2 + x - 20 x = 20 Length of rectangle = 20 + 5 = 25 cm Breadth of rectangle = 20 - 4 = 16 cm Perimeter of rectangle = 2(l + b) = 2(25 + 16) = 2(41) = 82 cm |