The perimeter of a rectangle is 28√2 cm, while the area of the rectangle is 96 cm². Find the difference between the length and the breadth of the given rectangle.
Show answer & explanation
Correct answer: C
Explanation
Given:
Perimeter of rectangle = 28√2 cm
Area of rectangle = 96 cm²
By formula:
Perimeter = 2(l + b)
Area = l × b
2(l + b) = 28√2
l + b = 14√2
l × b = 96
(l − b)² = (l + b)² − 4lb
= (14√2)² − 4 × 96
= 392 − 384
= 8
l − b = √8
= 2√2
Difference of length and width = 2√2 cm