The area of a rectangle is 36x^2 — 100y^2. Determine the length and the width of the rectangle.

the length is represented by (6x + 10y) and the width by (6x - 10y)

Step-by-step 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)

the correct answer to your question is a. 4^4

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you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.