<u>Answer:</u>
<u>Step-by-step explanation:</u>
The perimeter of a shape is the sum of all the sides of the shape.
• Perimeter of the polygon = 15 + 20 + 17 + 8 + 20
= 80 feet
To find the area of the polygon, we can separately find the areas of the triangle and the rectangle and then add them together.
• Area of rectangle = length × breadth
= 15 × 20
= 300 square feet
• Area of triangle = × base × height
As the height of the triangle is not provided, we have to calculate it.
Let the height of triangle =
Using Pythagoras's theorem:
⇒
⇒
⇒
Now using this value of height, we can find the area of the triangle:
Area of triangle = × 8 × 15
= 60 square feet
• Finally, we can add the areas of the triangle and rectangle together to find the area of the polygon:
Area of polygon = 300 + 60
= 360 square feet