The ratio of the length to width of a certain rectangle is 3 : 2 and the area is 150 cm². The perimeter of the rectangle (in cm) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 50.
The ratio of length and breadth = 3 : 2
Area = 150 cm2
We know that,
Area of rectangle = length × breadth
⇒ 150 = 3x × 2x
⇒ 150 = 6x2
⇒ x2 = 25
⇒ x = 5
Length = 3x = 15, and Breadth = 2x = 10
Now,
Perimeter of rectangle = 2(length + breadth)
⇒ 2(15 + 10)
⇒ 2 × 25 = 50