All PSAT Math Resources
Example Questions
Example Question #11 : Rhombuses
A rhombus has a side length of 5. Which of the following is NOT a possible value for its area?
Possible Answers:
10
24
15
30
25
Correct answer:
30
Explanation:
The area of a rhombus will vary as the angles made by its sides change. The "flatter" the rhombus is (with two very small angles and two very large angles, say 2, 178, 2, and 178 degrees), the smaller the area is. There is, of course, a lower bound of zero for the area, but the area can get arbitrarily small. This implies that the correct answer would be the largest choice. In fact, the largest area of a rhombus occurs when all four angles are equal, i.e. when the rhombus is a square. The area of a square of side length 5 is 25, so any value bigger than 25 is impossible to acheive.
All PSAT Math Resources
Popular Subjects
Calculus Tutors in Philadelphia, SSAT Tutors in New York City, French Tutors in Houston, Algebra Tutors in Chicago, SSAT Tutors in Houston, GRE Tutors in Boston, Chemistry Tutors in San Francisco-Bay Area, ISEE Tutors in Denver, GMAT Tutors in Los Angeles, Biology Tutors in Philadelphia
Popular Courses & Classes
Spanish Courses & Classes in Miami, Spanish Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in San Diego, GRE Courses & Classes in Denver, LSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Miami, ACT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Miami, SAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Los Angeles