Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.
By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.
This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.
The total area of the given figure is then 34+6, or 40, square units.
Hope this helps you out!!!!!
Slope is
Then you use the equation
Where b is the y-intercept. To find it, plug in x and y from one of the points. Say, point 1 (1,10):
You know m (from above) and now you can solve for b.
Rearrange terms:
And that will be the answer.
Make sense?
1 feet = 30.5 centimetres
1 feet² = (30.5)² centimetres²
2250 feet² = 2250 × 30.5² = 2093062.5 centimeters²
