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!

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: