Problema Solution
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.
Answer provided by our tutors
The length of the garden is: 3x-3y ft
The width of the garden is: x-5y ft
For a rectangle, area is given by length*width
length*width=(3x-3y)*(x-5y)
Use FOIL (first, outer, inner, last) to multiply
3x^2-15xy-3xy+15y^2
Combine like terms
3x^2-18xy+15y^2 is the expression for the area of the garden.