Length: L(s) = 2+y Width: W(s) = 2y write a function to represent the area of the rectangle in terms of the sides of the square

Answer 1

To find the area of a rectangle with length (L) and width (W), we use the formula:

Area = Length x Width

In this case, the length of the rectangle (L) is given by the equation L(s) = 2+y, and the width (W) is given by the equation W(s) = 2y.

Substituting these equations into the area formula, we get:

Area = (2+y) x (2y)

Expanding this expression, we have:

Area = 4y + 2y^2 + 2y

Finally, combining like terms, we simplify:

Area = 2y^2 + 6y

Thus, the area of the rectangle in terms of the sides of the square is represented by the function:
A(s) = 2s^2 + 6s