Answer:
Step-by-step explanation:
The need is to find the area of the elongated plus sign inside the rectangle. The area of the rectangle itself is not needed. That elongated plus sign is where we will run into trouble. The center of that plus sign is included in both the vertical strip and the horizontal strip. So when we go to find the area of the plus sign, we include the center in one or the other, NOT BOTH. I included the area in the vertical strip so I eliminated it in the horizontal strip, creating 2 shorter strips on either side of the center.
The area for the vertical strip, including the center:
A = 3 * 26 (3 is the width and 26 is the length)
A = 78 square meters
Now for the horizontal strip...
The horizontal strip minus the center is
14 - 3 = 11; divide that 11 in half and we get the length of each short horizontal strip on either side of the center to be 5.5 meters long. Therefore, each short strip measures 5.5 (we have 2 of them).
A = 3(5.5) + 3(5.5) and
A = 16.5 + 16.5
A = 33
The sum of the long vertical and the 2 shorter horizontal areas is
78 + 33 = 111
Therefore, the total area of the colored portion is 111 square meters.
Steven consistently goes 15 km/h faster than Kara does. Therefore, every hour, he gains another 15 km of distance ahead. This goes on until the first time they meet, at which case Steven will have gone an extra full lap of 1800 km, which will put them at the same location at the same time. We divide 1800 km / 15 km/h = 120 hours.
Answer:
1/4
Step-by-step explanation:
We can find the slope given two points by using
m = (y2-y1)/(x2-x1)
= (0-10)/(-19-21)
= -10/(-40)
= 10/40
= 1/4