Question

Perimeter =
units
Plot and connect the points in the order listed below. When you are done, find the perimeter of the resulting figure.
A, left parenthesis, 2, comma, 4, right parenthesisA(2,4), B, left parenthesis, 8, comma, 4, right parenthesisB(8,4), C, left parenthesis, 8, comma, minus, 2, right parenthesisC(8,−2), D, left parenthesis, 2, comma, minus, 2, right parenthesisD(2,−2)

Answer 1

To find the perimeter of the figure formed by the points A(2, 4), B(8, 4), C(8, -2), and D(2, -2), let's first plot the points and connect them in the order given: A to B to C to D and back to A.

1. **Plot the Points:**
- A(2, 4)
- B(8, 4)
- C(8, -2)
- D(2, -2)

2. **Connect the Points:**
- Connect A to B
- Connect B to C
- Connect C to D
- Connect D to A

3. **Calculate the Lengths of the Sides:**
- **AB:** The distance between A(2, 4) and B(8, 4) is:
\[
AB = |8 - 2| = 6
\]
- **BC:** The distance between B(8, 4) and C(8, -2) is:
\[
BC = |-2 - 4| = 6
\]
- **CD:** The distance between C(8, -2) and D(2, -2) is:
\[
CD = |2 - 8| = 6
\]
- **DA:** The distance between D(2, -2) and A(2, 4) is:
\[
DA = |4 - (-2)| = 6
\]

4. **Calculate the Perimeter:**
The perimeter \( P \) is the sum of all the side lengths:
\[
P = AB + BC + CD + DA = 6 + 6 + 6 + 6 = 24
\]

Therefore, the perimeter of the resulting figure is **24 units**.