Question: Find the area of the square.
A ) 9y2 + 14y + 4
B ) 9y2 + 12y + 4
C ) 9y2 + 10y + 2
D ) 9y2 + 10y + 4
Steps to derive
1 The side of the square is 3y + 2.
2 The area of a square = side2
3 The area of the square = (3y + 2)(3y + 2)
[Substitute the values.]
[Use distributive property.]
4 = 3y(3y + 2) + 2(3y + 2)
[Multiply.]
5 = 9y2 + 6y + 6y + 4
[Combine like terms.]
6 = 9y2 + 12y + 4
7 The area of the square is 9y2 + 12y + 4.
Hence the right answer is Option B
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