Geometry Puzzle – Challenge 63

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Geometry Puzzle – Challenge 63

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

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