Question

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?

Answer 1

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!