If the perimeter of a square is (4a+8) unit, then its area will be :

(a) a²+4a+4) square unit
(b) (10a²-a-8) square unit
(c) (a+2a²+4) square unit
(d) (4a²+4a-4) square unit

Anurag Mishra Professor Asked on 3rd February 2016 in Maths.
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1 Answer(s)

Answer:  (a) (a^2 + 4 a + 4) square unit 

Solution:-
The perimeter of a square = 4 a + 8 
Then, the side of the square = a + 2

So, the area of square = (a + 2) (a + 2) 
 = a^2 + 2 a + 2 x + 2 x 2
 = a^2 + 4 a + 4

Then, the area of the square is (a^2 + 4 a + 4) square unit. 

Hence, the correct answer is option (a) (a^2 + 4 a + 4) square unit. 

Anurag Mishra Professor Answered on 3rd February 2016.
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