The area of a rectangular athletic field is represented by the expression square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense Òlength times widthÓ) of the athletic field. Include correct units with your solution.
The answer I have is (8y+5z)(8y-5z).
I still am not sure how to include correct units in the solution. Please help!
do the FOIL method
f for first
o for outer
i for inner
l for last
(8y+5z)(8y-5z)
64y^2 + 40yz - 40yz + -25z^2
64y^2 - 25z^2
To include correct units in the solution, you need to determine the units for each variable in the expression and include them in the final answer.
Let's assume that 'y' represents the length of the athletic field in meters and 'z' represents the width of the athletic field in meters.
The expression (8y+5z)(8y-5z) represents the area of the rectangular athletic field in square meters.
To include the units in the solution, you can rewrite the expression as:
(8y + 5z) * (8y - 5z) square meters
This way, it is clear that the dimensions given in the expression are in meters and the resulting area will be in square meters.
So, one possible set of dimensions for the athletic field represented by the algebraic expression (8y+5z)(8y-5z) is a length of (8y+5z) meters and a width of (8y-5z) meters.