The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 cm2. What is its perimeter?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 198 cm.
Given that
The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 cm2
The area of a rectangle = length × breadth
Perimeter of a rectangle = 2 (length + breadth)
⇒ length × breadth = 1944
⇒ 8x × 3x = 1944
⇒ 24x2 = 1944
⇒ x2 = 1944/24 = 81
⇒ x = 9
Hence, the perimeter of rectangle = 2 (8x + 3x) = 22x = 22 × 9 = 198 cm