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Question
hi there..
just need your help answering this question..
the question is a trapezium has an area of 25 cm squared...its vertical height is 5cm..write down 5 different possible lengths the two paraell sides could bee..
Hi,
The formula for area of a trapezoid is (b + t)/2 * h = 25.
Now the h = 5 since that is the height. Note that b,t stand for the lengths of the parrellel sides. So (b+t)/2 * 5 = 25
(b+t) = 10
so they add to ten. All you need to do is think of 5 cases where they add to ten.
So 9,1 8.2 7.3 6,4 5,5 all work, so this could be your answer.
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Answers by Expert:
Robi Bhattacharjee
Expertise
I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.
Experience
I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).
Organizations
I am in the San Diego Math Circle
Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.
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