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