Mensuration  Quant/Math 
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 m^{2}, what is the length of the rectangle?
(1) 
17 m 

(2) 
31 m 

(3) 
12 m 

(4) 
24 m 
Correct Answer  (4)
Solution:
The diagonal d = 25m. and area A = 168 m^{2}.
Let 'l' be the length and 'b' be the width of the rectangle.
Therefore, l^{2} + b^{2} = d^{2}. and lb = A
We can therefore write (l + b)^{2} = d^{2} + 2A and (l  b)^{2} = d^{2}  2A.
Substituting and solving we get, l + b = 31 and l  b = 17. Hence l = 24 and b = 7
