The area of a rectangular athletic field is represented by the expression 16y²-49z² square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution.

Question

The area of a rectangular athletic field is represented by the expression  16y²-49z² square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution.

MathMate · Answer

Area = 16y²-49z² = (4y)²-(7z)² Factorize to get (4y+7z)(4y-7z). Can you take it from here?