By using the work from Plan A and subtracting the two walkways, the new perimeter is 19x + 2 units.
In Euclidean Geometry, the perimeter of any geometric figure can be used to determine the total length around its edges.
By using the work from Plan A, the new perimeter of this geometric figure can be calculated by subtracting the two walkways as follows;
New perimeter = 3x + 4x - 2(x + 1/2) + 2x - 2 + 2x - 2 + 3x + 1 + 4x + 5 + 3x + 1
By opening the parenthesis and collecting like terms, we have the following:
New perimeter = 3x + 4x - 2x + 2x + 2x + 3x + 4x + 3x - 1 - 2 - 2 + 1 + 5 + 1
New perimeter = 19x + 2 units.
Complete Question:
Gloria forgot to account for two walkways. Using the work from Plan A, subtract the two walkways to find the new perimeter. The width of each walkways is x + ½ .
Show work here (put in simplest form):