The area of a square is 2116 sq. cm. What is the respective ratio between the length and the breadth

M4maths Previous Puzzles

24 Mar 2021 Ratio

The area of a square is 2116 sq. cm. What is the respective ratio between the length and the breadth of a rectangle whose length is ¼ of the side of the square and breadth is 8 cm less than the side of the square?

OPtion

1) 5 : 8
2) 5 : 18
3) 16 : 8
4) 12 : 36
5) 11.5 : 38
6) 11.5 : 36
7) 12 : 38
8) 12 : 30
9) 14 : 36
10) None of the above

Solution

Given, a2 = 2116 sqcm.
So, a = √2116 = 46cm
As per condition 1, length of the rectangle = ¼ x 46 = 11.5 cm
As per condition 2, breadth of the rectangle = 46 – 8 = 38 cm
Hence ratio will be- 11.5: 38

Correct Option: 5 Best Solution (3)