Geometry Puzzle – Challenge 63
This is another great puzzle to challenge and engage students in a fun way. Let's see who can solve this geometry related challenge!
Challenge:
A rectangle is made of 7 equal squares. If the area of the rectangle is 567 feet, what is the perimeter of the rectangle?
A- 120 feet
B- 132 feet
C- 144 feet
D- 169 feet
E- 180 feet
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The correct answer is C.
The rectangle is made of 7 equal squares. Therefore, the ratio of the width and length of the rectangle is 1 to 7. Why?
Let X be the width of the rectangle. So,
\(X × 7X = 567 → 7X^2 = 567 → X^2 = 81 → X = 9\)
The width of the rectangle is 9 feet and the length is 63 feet.
(7 × 9 = 63)
The perimeter of the rectangle is:
2 × (9 + 63) = 144 feet
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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