Make an equation to represent the area of a square whose sides are given by the expression x + y.
A. A = 2x + 2y + 2xy
B. A = x2 + 2xy +y2
C. A = 2(x2 + y2)
D. A = x2 + y2
I got D please correct me if wrong. Thx!
Area of Square = s²
where s = side of square
if s = x + y, then
Area = (x + y)² = x² + 2xy + y²
so B, not D
To find the equation that represents the area of a square with sides given by the expression (x + y), we need to use the formula for the area of a square, which is A = side length^2.
In this case, the side length is (x + y), so the equation to represent the area would be:
A = (x + y)^2.
Now, let's simplify this expression:
A = (x + y)(x + y)
A = x(x + y) + y(x + y)
A = x^2 + xy + yx + y^2
Since xy and yx are the same, we can rewrite this as:
A = x^2 + 2xy + y^2
Comparing this expression to the given options, we can see that option B matches:
A = x^2 + 2xy + y^2
Therefore, the correct answer is B.