Latest Hcl Aptitude Question SOLUTION: If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, what is the area? Ans: A)130 cm sq. B)120 cm sq. C)125 cm sq. D)140 cm sq.

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If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, what is the area?

Ans:
A)130 cm sq.
B)120 cm sq.
C)125 cm sq.
D)140 cm sq.

Asked In Hcl Priya (4 years ago)

Solved Devendra Marghade Read Solution (1)

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Devendra Marghade  (4 years ago) Best Solution

B)120 cm sq.

Let the sides of a rectangle be x & y cm, then
Diagonal² = x² + y²
289 = x² + y² ---(i)
Also, Perimeter = 2(x+y) = 46 => (x+y) = 23 ---(ii)
We know, (x+y)² = x² + y² + 2xy
=> 23² = 289 + 2xy
529 = 289 + 2xy
2xy = 240
xy = 120
Therefore, area of a rectangle is 120 cm. sq.

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