The length of a rectangle is 4 times of its breadth. If the area of the rectangle is 576 cm2, then what is the perimeter of this rectangle?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 120 cm.
Area of rectangle = l × b
Perimeter of rectangle = 2(l + b)
Length = 4 × breadth
Area = 576 cm2
Let the breadth of the rectangle be x cm.
So, length = 4x cm
Area = l × b
⇒ 576 = x × 4x
⇒ x2 = 144
⇒ x = 12
Breadth = 12 cm and Length = 4 × 12 = 48 cm
Now, perimeter = 2(l × b) = 2(48 + 12) = 2 × 60 = 120.
Hence the perimeter of the rectangle is 120 cm.