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The area, A, of a rectangle is 120x2 + 78x – 90, and the length, l, of the rectangle is 12x + 15. Which of the following gives the width, w, of the rectangle?

Respuesta :

Answer:

Width = 2(5x - 3)

Step-by-step explanation:

The area A, of the rectangle, is given by 120x² + 78x - 90.

Now, the area can be expressed as 6(20x² + 13x - 15)

= 6(20x² + 25x - 12x -15)

= 6(4x + 5)(5x - 3).

Now, the length of the rectangle is given by (12x + 15) = 3(4x + 5)

So, the width of the rectangle = [tex]\frac{Area}{Length} = \frac{6(4x + 5)(5x - 3)}{3(4x + 5)} = 2(5x - 3)[/tex] (Answer)

Answer:

10x – 6

Step-by-step explanation:

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