Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. find the perimeter and area of the polygon shown below. 15 ft 18 ft 17 ft 8 ft o p = 91 feet, a = 390 square feet o p = 76 feet, a = 330 square feet o p = 58 feet, a = 338 square feet o p = 76 feet, a = 338 square feet

Explanation:

Step1: Calculate the perimeter

The polygon has side - lengths 15 ft, 18 ft, 17 ft, and \(18 - 8=10\) ft.
\(P=15 + 18+17 + 10+16=76\) ft (The fourth - side length is found by subtracting 8 from 18, and the fifth - side length is 16 ft which is the vertical side on the right - hand side equal to the left - hand vertical side).

Step2: Calculate the area

The polygon can be split into a rectangle and a right - triangle.
The rectangle has length 18 ft and width 15 ft, and the triangle has base 8 ft and height 15 ft.
The area of the rectangle \(A_{rect}=18\times15 = 270\) square feet.
The area of the triangle \(A_{tri}=\frac{1}{2}\times8\times15=60\) square feet.
\(A = A_{rect}+A_{tri}=270 + 60=330\) square feet.

Answer:

B. \(P = 76\) feet, \(A = 330\) square feet