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?

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

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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step-by-step explanation: