justinhouston2006
justinhouston2006 justinhouston2006
  • 09-04-2021
  • Mathematics
contestada

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

The area of a rectangle is 36x2 100y2 Determine the length and the width of the rectangle class=

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altavistard
altavistard altavistard
  • 10-04-2021

Answer:

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)

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