What is the perimeter of polygon ABCDEFG if quadrilateral ABFG is a square?

What is the perimeter of polygon ABCDEFG if quadrilateral ABFG is a square?

• A. 20 units
• B. 25 units
• C. 30 units
• D. 35 units

Answer: (B)

To determine the perimeter of polygon ABCDEFG, we first need to consider the implications of quadrilateral ABFG being a square. In a square, all sides are of equal length. Therefore, if we let each side of the square be represented by a certain length—let’s say it measures ‘s’ units—then the total length contributed by the square to the perimeter would be 4s. Next, we need to consider the contribution to the perimeter from the remaining vertices C and D of the polygon. The total perimeter of polygon ABCDEFG would be the sum of the lengths of the sides from the square (4s) and the lengths of any additional sides, such as BC and CD. If we know that the entire perimeter of the polygon adds up to a specified value, we can see how it relates to the sides we calculated. In this case, given that the intended perimeter is 25 units, we need to relate this number back to our calculations. If the sides of the square (4s) add to a part of the total perimeter and the lengths from C to D contribute appropriately, we can verify that these lengths add together to reach the mentioned value. Assuming we calculated the side length of the square to

To determine the perimeter of polygon ABCDEFG, we first need to consider the implications of quadrilateral ABFG being a square. In a square, all sides are of equal length. Therefore, if we let each side of the square be represented by a certain length—let’s say it measures ‘s’ units—then the total length contributed by the square to the perimeter would be 4s.

Next, we need to consider the contribution to the perimeter from the remaining vertices C and D of the polygon. The total perimeter of polygon ABCDEFG would be the sum of the lengths of the sides from the square (4s) and the lengths of any additional sides, such as BC and CD.

If we know that the entire perimeter of the polygon adds up to a specified value, we can see how it relates to the sides we calculated. In this case, given that the intended perimeter is 25 units, we need to relate this number back to our calculations. If the sides of the square (4s) add to a part of the total perimeter and the lengths from C to D contribute appropriately, we can verify that these lengths add together to reach the mentioned value.

Assuming we calculated the side length of the square to