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The perimeter of a rectangle is 46 m. The width of the rectangle is 2 more than half the length. Find the length and the width of the rectangle.

Respuesta :

sqdancefan

Answer:

  • length: 14 m
  • width: 9 m

Step-by-step explanation:

You want the dimensions of a rectangle with a perimeter of 46 meters and a width that is 2 more than half the length.

Setup

Using L and W for the length and width, we are given the relations ...

  P = 2(L +W)

  46 = 2(L +W) . . . . . equation for perimeter

and

  W = 2 +L/2 . . . . . . equation relating length and width

Solution

Using the second equation to substitute for W in the first, we have ...

  46 = 2(L +(2 +L/2))

  46 = 2L +4 +L . . . . . . . . simplify

  42 = 3L . . . . . . . . subtract 4

  14 = L . . . . . . divide by 3

  W = 2 +14/2 = 9 . . . . . find W

The length is 14 meters; the width is 9 meters.

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