Question

Find the perimeter of the figure with the given coordinates:

(-7, 3)
(8, 3)
(8, -8)
(-7, -1)
(2, -1)

a) 34 units
b) 44 units
c) 54 units
d) 64 units

Answer 1

To find the perimeter of the figure, calculate the distance between each pair of consecutive points and add them up.

Step-by-step explanation:

To find the perimeter of the figure with the given coordinates, we need to calculate the distance between each pair of consecutive points and add them up.

Using the distance formula √((x2 - x1)² + (y2 - y1)²), we find:

1. Distance between (-7, 3) and (8, 3) = sqrt((8 - (-7))² + (3 - 3)²) = 15 units
2. Distance between (8, 3) and (8, -8) = sqrt((8 - 8)² + (-8 - 3)²) = 11 units
3. Distance between (8, -8) and (-7, -1) = sqrt((-7 - 8)² + (-1 - (-8))²) = 21 units
4. Distance between (-7, -1) and (2, -1) = sqrt((2 - (-7))² + (-1 - (-1))²) = 9 units
5. Distance between (2, -1) and (-7, 3) = sqrt((-7 - 2)² + (3 - (-1))²) = 13 units

Adding up the distances, we get 15 + 11 + 21 + 9 + 13 = 69 units. Therefore, the correct answer is not listed among the given options.