find the area of the square in terms of the variable x.

Question

then length of a side of a square is (4x+4) km. find the area of the square in terms of the variable x.

(a)16x^2 - 32x + 16 km^2  

(b) 16x^2 + 32x + 16 km^2

(c) 16x^2 + 32x - 16 km^2 

(d)16x^2 + 16 km^2

(e)16x^2 - 32x - 16 km^2

Answer 1

Question: the length of a side of a square is (4x+4) km. find the area of the square in terms of the variable x.

The side of the square is s = (4x + 4)

The area of a square is A = s^2

So, the area of this square is A = (4x + 4)^2 = 4^2(x+1)^1 = 16(x+1)^2 = 16(x^2 + 2x + 1)

Area of square is A = 16x^2 + 32x + 16 km^2

The correct answer is option (b)