Please help 30 points

The area of the polygon is 624.5 square feet.

Step-by-step explanation:

The total area of the figure (), in square feet, is the sum of the areas of two triangles and a rectangle, that is:

(1)

Where:

- Area of the big triangle, in square feet.

- Area of the small triangle, in square feet.

- Area of the rectangle, in square feet.

Then, we expand the formula by using all dimensions presented in the image attached:

The area of the polygon is 624.5 square feet.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."