Mensuration - Quant/Math - CAT 2008

Question 4 the day: October 1, 2002
The question for the day is from the topic of Mensuration.

If the diagonal and the area of a rectangle are 25 m and 168 m², what is the length of the rectangle?

(1)

17 m

(2)

31 m

(3)

12 m

(4)

24 m

Solution:

The diagonal d = 25m. and area A = 168 m².
Let 'l' be the length and 'b' be the width of the rectangle.
Therefore, l² + b² = d². and lb = A
We can therefore write (l + b)² = d² + 2A and (l - b)² = d² - 2A.
Substituting and solving we get, l + b = 31 and l - b = 17. Hence l = 24 and b = 7