### All ACT Math Resources

## Example Questions

### Example Question #1 : Plane Geometry

All segments of the polygon meet at right angles (90 degrees). The length of segment is 10. The length of segment is 8. The length of segment is 3. The length of segment is 2.

Find the perimeter of the polygon.

**Possible Answers:**

**Correct answer:**

The perimeter of the polygon is 46. Think of this polygon as a rectangle with two of its corners "flipped" inwards. This "flipping" changes the area of the rectangle, but not its perimeter; therefore, the top and bottom sides of the original rectangle would be 12 units long . The left and right sides would be 11 units long . Adding all four sides, we find that the perimeter of the recangle (and therefore, of this polygon) is 46.

### Example Question #2 : How To Find The Perimeter Of A Polygon

In the figure below, each pair of intersecting line segments forms a right angle, and all the lengths are given in feet. What is the perimeter, in feet, of the figure?

**Possible Answers:**

**Correct answer:**

Fill in the missing sides by thinking about the entire figure as a big rectangle. In the figure below, the large rectangle is outlined in blue and the missing numbers are supplied in red.

### Example Question #3 : How To Find The Perimeter Of A Polygon

What is the perimeter of a regular, polygon with a side length of ?

**Possible Answers:**

**Correct answer:**

To find the perimeter of an -sided polygon with a side length of , simply multiply the side length by the number of sides:

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