8. Essay: Show all work. A gardener wants to create a rectangular garden with length of 3x - 3y ft. and width of x - 5y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include units.
(Points : 6)

Question

8. Essay:  Show all work. A gardener wants to create a rectangular garden with length of  3x - 3y ft. and width of  x - 5y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include units.
(Points : 6)

anonymous · Answer

Length = 3x -3y ft
Width = x -5y ft
Area = length * width = (3x -3y)*(x-5y) sq. ft
3x*(x -5y) -3y*(x-5y) sq. ft
3x^2 -15xy -3yx +15y^2
3x^2 -18xy+15y^2
3(x^2-6xy+5y^2) sq. ft