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Zara has a rectangular garden. The length of her garden is 12 feet and the width is 7 feet. She extends the width
of her garden by w feet to create a larger garden with a total perimeter of 46, feet. Write an equation that can be
used to determine the amount of feet, w, by which Zara extends the width of her garden.
By how many feet does Zara extend the width of her garden? Show your work.



Sagot :

Given the perimeter and length of the garden, the width of the garden was extended by 4 feet

How to find width of the garden

  • Length of the garden = 12 feet
  • Width of the garden = 7 feet

  • Width extension =( 7 + w) feet

  • Perimeter = 46 feet

Perimeter = 2(length+ width)

46 = 2{12 + (7 + w)}

46 = 2(12 + 7 + w)

46 = 2(19 + w)

46 = 38 + 2w

46 - 38 = 2w

8 = 2w

w = 8/2

w = 4 feet

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