The 8-sided figure below is divided into 5 congruent squares
The 8-sided figure below is divided into 5 congruent squares. The total area of the 5 squares is 125 square inches. What is the perimeter, in inches, of the figure?
- 25
- 60
- 80
- 100
- 125
Answer
The correct answer is B.
The 8-sided figure consists of 5 congruent squares whose areas total 125 square inches. Therefore, each congruent square has an area of 125/5 = 25 square inches.
So, each side of each square is √25 = 5 inches long.
The perimeter of the 8-sided figure is composed of 12 of these sides, each of length 5 inches. Therefore, the 8-sided figure has a perimeter of 12 × 5 = 60 inches.