Answer:
the length is represented by (6x + 10y) and the width by (6x - 10y)
Explanation:
36x^2 - 100y^2 is the difference of two squares, so we need only factor this expression to obtain the length and width.
Recall that a similar difference, a^2 - b^2, comes out to (a - b)(a + b).
Thus, (36x)^2 = (100y)^2 = (6x - 10y)(6x + 10y).
Let's assume that the greater measurement, the length, is represented by (6x + 10y) and the width by (6x - 10y)