Geometry Problem Set Show your work AND explain your reasoning (this is the why not the how) in complete English sentences. Explanations must directly follow the solution for each part of the problem.Tips:You need to correctly solve the problems. You must show work, correct solutions, and write English sentences explaining your reasoning, not just how but also why you did what you did (if you think it, write it). The problem sets are graded by one of the IAs using a set of solutions that I have provided. One of them wrote the following about how to get full credit:”When you’re working on your problem sets, be sure to show all of your work and explain everything you and why did in clear English sentences. Lots of people lose points on their explanations, especially at the beginning of the semester. Make sure you use your sentences to actually explain what you did and why rather than just writing out your answer in a sentence, for example:”James has $5 left” is just your answer written in a sentence and will not get you points for explaining your work”Since James started with $10 but spent $4 on coffee and $1 on Skittles, he has $5 left. Since James spent money, I subtracted the $5 he spent from the $10 he started with to get my answer” includes the answer and the explanation of how you got your answer and why you did what you did. This would get you points for explaining your work.” Geometry: Group Problem Set 2
1. Solve the following problems. Write your solutions and explanations on
your own paper between standard notebook size (8×10.5) and standard
typing paper size (8.5×11). You must use pencil (no pens). Using a pen will
result in a grade of 0.
2. Show your work and explain your reasoning using complete English
3. You need to put the title above on your paper and put your name on the top
right of your page.
4. All the papers for
your group must be picked up together by instructor or IA.
1. [5 pts] A rectangular swimming pool measures 14 feet by 30 feet. The pool is
surrounded on all four sides by a path that is 3 feet wide. If the cost to
resurface the path is $2 per square foot, what is the total cost of
resurfacing the path?
2. [5 pts] A couple wishes to replace the carpeting in their master bedroom.
Their master bedroom measures 24 ft by 16 ft. If carpeting is sold by
the square yard, how many square yards of carpeting are needed?
(Round to 1 decimal place and be sure to include units.)
3. The Great Pyramid outside Cairo, Egypt, has a square base measuring 756 feet
on a side and a height of 480 feet.
a. [6 pts] What is the volume of the Great Pyramid, in cubic yards?
b. [4 pts] The stones used to build the Great Pyramid were limestone blocks
with an average volume of 1.5 cubic yards. Assuming a solid
pyramid, how many of these blocks were needed to construct the
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