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 m2, 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 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
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