# 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

**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.