there are 4 sides to this figure (trapezoid). the left slanted side and the right most vertical side, combined with the top and bottom horizontal sides, will get us the perimeter.
left slanted side = 5 yards
right most vertical side = 4 yards (see note below)
bottom side = 9 yards
top side = 6 yards
add up the four sides mentioned: 5+4+9+6 = 9+15 = 24
note: the rectangle has opposite sides that are the same length. while the right most side isn't labeled, it is the same length as the left side of the rectangle, so both are 4 yards long.
another thing i should probably mention is that we do not add in the interior 4 yard side. the perimeter is only the outer or exterior sides we care about. think of it like we're trying to fence around some property lot and we don't want to subdivide the property up. finding the perimeter will us find the amount of fencing needed to surround the property.
in the given graph, we have a parabola with a small line near it.
the given parabola goes up to a point where x = 2 but fails to reach that value. also, x = 2 starts on the line above where x = 2 and ends right before x = 4.
therefore, the function can be modeled by:
katy's family got to the beach at 9: 55am.
in order to find katy's family's arrival time at the beach, you need to first add amount the amount of time they spent on each activity. since there are 60 minutes in one hour, you can add up all the minutes together and then divide by 60 minutes to get the total time in hours:
55 minutes + 115 minutes (1 hr and 55 min) + 105 minutes (1 hr and 45 minutes) = 275 total minutes
275 ÷ 60 = 4 hours and 35 minutes
if katy's family was done with their activities at 2: 30pm, we need to subtract 4 hours and 35 minutes from 2: 30pm to get their arrival time. 2: 30pm - 4 hours = 10: 30am, now subtract another 35 minutes to get 9: 55am.