Find the perimeter and area of the polygon shown below?

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