Question

the movement of the progress bar may be uneven because questions can be worth more or less (incl
find the perimeter and area of the polygon shown below.
15 ft
18 ft
p = 76 feet, a = 330 square feet
p = 76 feet, a = 338 square feet
p = 91 feet, a = 390 square feet
p = 58 feet, a = 338 square feet

Explanation:

Step1: Calculate the perimeter

The perimeter \( P \) of a polygon is the sum of all its side lengths.
The sides are \( 15\) ft, \(18\) ft, \(17\) ft, and \(18 + 8=26\) ft.
\(P=15 + 18+17+(18 + 8)\)
\(P=15+18 + 17+26\)
\(P=76\) ft

Step2: Calculate the area

The polygon can be divided into a rectangle and a right - triangle.
The area of the rectangle \(A_{1}=15\times18 = 270\) square feet.
The base of the triangle \(b = 8\) ft and the height \(h = 15\) ft. The area of the triangle \(A_{2}=\frac{1}{2}\times8\times15=60\) square feet.
The total area \(A=A_{1}+A_{2}\)
\(A = 270+60\)
\(A=330\) square feet

Answer:

\(P = 76\) feet, \(A = 330\) square feet (First option)