Question

Pls help i’ll give brainliest

Answer 1

Answer:

$\rm {P = 80 \space\ feet,\space\ A = 360 \space\ square \space\ feet}$

Step-by-step explanation:

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 = $\frac{1}{2}$ × base × height

As the height of the triangle is not provided, we have to calculate it.
Let the height of triangle = $x$

Using Pythagoras's theorem:
$x^2 + 8^2 = 17^2$

⇒  $x^2 = 17^2 - 8^2$

⇒  $x = \sqrt{17^2 - 8^2}$

⇒ $x=\bf15$

Now using this value of height, we can find the area of the triangle:

Area of triangle =  $\frac{1}{2}$  × 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

Answer 2

Answer:

A

Step-by-step explanation:

Area of the rectangle is 15*20=300

Area of the triangle is 8*17/2=68

Total area is 300+68=368

Perimeter is 15+20+20+8+17=80