To find the perimeter of the playground, we need to calculate the distance between each pair of consecutive points and then add them all up.
The distance between points A and B can be calculated using the distance formula:
distance AB = sqrt((1 - (-5))^2 + (10 - 10)^2)
= sqrt(6^2 + 0)
= sqrt(36)
= 6 yards
The distance between points B and C can be calculated using the distance formula:
distance BC = sqrt((1 - 1)^2 + (-12 - 10)^2)
= sqrt(0 + (-22)^2)
= sqrt(484)
= 22 yards
The distance between points C and D can be calculated using the distance formula:
distance CD = sqrt((-5 - 1)^2 + (-12 - (-12))^2)
= sqrt((-6)^2 + 0)
= sqrt(36)
= 6 yards
The distance between points D and A can be calculated using the distance formula:
distance DA = sqrt((-5 - (-5))^2 + (-12 - 10)^2)
= sqrt(0 + (-22)^2)
= sqrt(484)
= 22 yards
Now, we can calculate the perimeter by adding up all the distances:
Perimeter = AB + BC + CD + DA
= 6 + 22 + 6 + 22
= 56 yards
Therefore, the correct answer is D) 56 yards.
A local park is building a new playground and needs to know how much fencing to buy. The park authority creates a map of the area with the coordinates A (-5, 10), B (1, 10), C (1, -12), and D (-5, -12). Each unit on the coordinate plane represents 1 yard. Solve to find out how many yards of fencing is needed (the perimeter). A 12 yards. B 72 yards. C 16 yards. D 56 yards.
1 answer
1 answer