The equation is 2(3x + 9) = 54
The length is 21 m and the width is 6 m
Step-by-step explanation:
Joe is planning a rectangular garden for spring and he needs to fence it to keep the rabbits out
We need to set up an equation to solve it and find the length and the width
Assume that the width of the garden is x meters
∵ The width of the garden is x meters
∵ The length of the garden has to be 9 m more than twice the width
- Multiply x by 2 and then add 9 to find the length
∴ The length = 2x + 9
∵ The perimeter of a rectangle = 2(length + width)
∵ Length = 2x + 9
∵ Width = x
∴ The perimeter of the garden = 2(2x + 9 + x)
- Add like terms
∴ The perimeter of the garden = 2(3x + 9)
∵ The length of the fence = 54 m
∵ The length of the fence is the perimeter of the garden
- Equate the perimeter of the garden by 54
∴ 2(3x + 9) = 54
- Subtract 18 from both sides
∴ 6x = 36
- Divide both sides by 6
∴ x = 6
∵ x represents the width of the garden
∴ The width of the garden is 6 meters
∵ 2x + 9 represents the length of the garden
∴ The length of the garden = 2(6) + 9 = 12 + 9 = 21 meters
The equation is 2(3x + 9) = 54
The length is 21 m and the width is 6 m
Learn more:
You can learn more about solving linear equations in brainly.com/question/13168205
#LearnwithBrainly
