A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.

Relax

Respuesta :

9514 1404 393

Answer:

  • length: 24 ft
  • width: 42 ft

Step-by-step explanation:

The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...

  L(2L -6) = 1008

  L² -3L -504 = 0 . . . . . divide by 2, put in standard form

  (L -24)(L +21) = 0 . . . . factor

  L = 24 . . . . makes the first factor zero

  W = 2L -6 = 2(24) -6 = 42

The length of the rectangle is 24 feet; the width is 42 feet.