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.
Answer:
see explanation
Step-by-step explanation:
Using cross- products, that is
= 
then ad = bc
Given the ratios
and 
Then equating and using cross- products
If both sides equate then the ratios are equivalent
= , then
4 × 21 = 6 × 14 ⇒ 84 = 84
Both sides are equal thus the ratios are equivalent
Answer:
y=0
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
the segment ¯AB¯ is congruent to the segment ¯BC¯
