Answer: option 1 is the correct answer.
Step-by-step explanation:
The perimeter of a plane figure is the total distance around it. The polygon has 4 sides. Therefore,
Perimeter = 8 + 17 + 20 + 15 + 20
= 80 ft
The polygon is made up of a rectangle and a right angle triangle.
Considering the rectangle,
Area = 15 × 20 = 300 ft²
Considering the right angle triangle, we would determine the height, h by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
17² = 8² + h²
289 = 64 + h²
h² = 289 - 64 = 225
h = √225 = 15
Area of triangle = 1/2 × base× height
Area = 1/2 × 8 × 15 = 66 ft²
Area of polygon = 300 + 60 = 360ft²
