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jim built a large rectangular planter bed for his garden. The length of the planter is 2 feet longer than 3 times the width. The perimeter of the planter bed is 92 feet. Write and solve an equation to find the length and width of the planter bed.



Answer :

nuhulawal20

Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.

What is the length and width of the rectangular planter bed?

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let 'x' represent the width of the rectangle.

  • Width w = x
  • Length = 3x + 2
  • Perimeter P = 92ft

Plug the given values into the above above equation.

P = 2( l + w )

92 = 2( ( 3x + 2 ) + x )

Solve the equation for x.

92 = 2( ( 3x + 2 ) + x )

92 = 6x + 4 + 2x

92 = 8x + 4

8x = 92 - 4

8x = 88

x = 88/8

x = 11

Hence;

Width of the rectangular planter bed = x = 11ft

Length of the rectangular planter bed = 3x+2 = 3(11) + 2 = 33 + 2 = 35ft

Given the perimeter, the length and width of the rectangular planter bed are 35ft and 11ft respectively.

Learn more about rectangles here: brainly.com/question/17043956

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