Mathematics - Massachusetts Department of Education
Mathematics - Massachusetts Department of Education
Mathematics - Massachusetts Department of Education
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<strong>Mathematics</strong> Session 2<br />
Questions 41 and 42 are open-response questions.<br />
• BE SURE TO ANSWER AND LABEL ALL PARTS OF EACH QUESTION.<br />
• Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.<br />
• If you do the work in your head, explain in writing how you did the work.<br />
Write your answer to question 41 in the space provided in your Student Answer Booklet.<br />
ID:288045 CMC402_fountain.eps Common EQ<br />
● 41<br />
A flower bed in the shape <strong>of</strong> a right triangle has a circular fountain in it. The flower bed and<br />
some <strong>of</strong> its measurements are shown in the diagram below.<br />
16 ft.<br />
20 ft.<br />
Fountain<br />
The perimeter <strong>of</strong> the flower bed is 48 feet.<br />
x<br />
a. What is x, the length in feet <strong>of</strong> the third side <strong>of</strong> the flower bed Show or explain how you<br />
got your answer.<br />
b. What is the area, in square feet, <strong>of</strong> the flower bed, including the fountain Show or explain<br />
how you got your answer.<br />
The circumference <strong>of</strong> the fountain is 8p feet.<br />
c. What is the radius, in feet, <strong>of</strong> the fountain Show or explain how you got your answer.<br />
d. What is the area, in square feet, <strong>of</strong> the flower bed, not including the fountain Show or<br />
explain how you got your answer.<br />
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