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

Quantitative Aptitude ( CCS) Mensuration 2D

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

17 m

25 m

30 m

24 m

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Explanation:

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

Hence, option 4 is the correct answer.