Elsie is planning a rectangular section of grass if the perimeter of the rectangle is 96 ft what is the length and width of the rectangular section the width is 6x - 15 and the length is x​

Respuesta :

Answer:

  • 39 ft and 9 ft

Step-by-step explanation:

Given:

  • P = 96 ft
  • w = 6x - 15
  • l = x

Use perimeter equation and solve for x:

  • P = 2(l + w)
  • 2( 6x - 15 + x) = 96
  • 7x - 15 = 48
  • 7x = 63
  • x = 9

Find the width:

  • w = 6*9 - 15 = 39

Given :-

  • Elsie is planning a rectangular section of grass if the perimeter of the rectangle is 96 ft .

To find :-

  • what is the length and width of the rectangular section the width is 6x - 15 and the length is x .

Solution :-

According to Question :-

  • l = x
  • b = 6x - 15

Using formula of perimeter :-

  • P = 2(l + b)
  • 96ft = 2(x + 6x -15)
  • 96 = 14x - 30
  • 14x = 96 + 30
  • 14x = 126
  • x = 9 ft

Hence

  • l = x = 9ft
  • b = 6x - 15 = 39ft
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