Question

Can someone please help me with this question? This is my last question, but I am not sure what the answer is.

Serena has been hired to design a small cabin. He has drawn the blueprint below. Her clients are still determining the overall size of the cabin, but Serena has labeled the known lengths in feet. She wants to find an expression to represent the perimeter of the entire space. The perimeter of the cabin is the sum of all four sides and can be written as perimeter = 2a+2b. Find an expression in terms of x that shows the total perimeter. (15 points)

Answer 1

Given that, The perimeter of the cabin is the sum of all four sides and can be written as perimeter = 2a+2b.

From the given diagram,

`a = x+6`

and,
`b = x+4`

The perimeter of the cabin

`=2a+2b\\= 2(x+6)+2(x+4)\\=2x+12+2x+8 \\=4x+20\\=4(x+5)`

Hence, an expression in terms of x that shows the total perimeter
`=4(x+5)`