poorboydenzel
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Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?

Respuesta :

2018bbenzenhafe

p=2l+2w

p=2(2)(x+6)+2(3.5x)

p=2(2x+12)+7x

p=4x+12 (this is as far as I know how to simplify)

Properties used: distribution

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Given that, the length of the garden is 2(x+6)feet and width is 3.5x feet.


So, length : l = 2(x+6) and width = 3.5x.


To find the fence of the garden we need to find the perimeter of the rectangle.


Formula to find the perimeter is:


p = 2l + 2b


= 2*2(x+6) + 2*3.5x


= 4(x+6) + 7x By multiplication.


= 4x + 24 + 7x By distribution property.


= 11x + 24 Combining the like terms.


So, he need to buy 11x + 24 feet fencing.


Hope this helps you!



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