Students were asked to answer a question at school and to declare what is most important for them to succeed. One which response stood out from the rest was practice. Successful people are definitely not born successful; they become successful with hard work and determination. This is how you can accomplish your goals. These are some question and answer examples that you could actually benefit from to expand your knowledge and gain insight that will help you to sustain your school studies.
What is the area of parallelogram RSTU?
First, we circumscribe a rectangle about the parallelogram as shown in the figure. The size of this rectangle is 10 by 6 clearly.
Between the rectangle and the parallelogram 4 triangles are formed, 2 by 2 congruent. We are going to remove the area of these 4 triangles from 60 (the area of the rectangle) and thus get the area of the parallelogram.
Note that one of the triangles has side lengths 4; 4. Thus, the area of this triangle is (4*4)/2=16/2=8 (square units.)
Each of the other two non-congruent triangles to the above have sides of length 6;2, so the area of each is (6*2)/2 =6 (square units.)
Thus, the area of the parallelogram is 60-8-8-6-6=60-16-12=60-28=32 (square units.)
Answer: 32 (square units.)
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