Question

Neville is modeling the mini-tennis court in the school playground on a coordinate plane. If each unit on the plane represents 3 feet and if the court is rectangular shaped with vertices at (−2.5,2.5), (−2.5,0.5), (1.5,2.5), and (1.5,0.5), what is the total length of the outline of the court that needs to be painted?

a) 36 feet
b) 42 feet
c) 45 feet
d) 48 feet

Answer 1

The total length of the outline of the mini-tennis court that needs to be painted is 36 feet.

Step-by-step explanation:

To find the total length of the outline of the mini-tennis court, we need to calculate the distance between each pair of consecutive vertices and add them up.

Distance between (-2.5,2.5) and (-2.5,0.5) = 2 units * 3 feet = 6 feet

Distance between (-2.5,0.5) and (1.5,0.5) = 4 units * 3 feet = 12 feet

Distance between (1.5,0.5) and (1.5,2.5) = 2 units * 3 feet = 6 feet

Distance between (1.5,2.5) and (-2.5,2.5) = 4 units * 3 feet = 12 feet

Total length of the outline = 6 feet + 12 feet + 6 feet + 12 feet = 36 feet

Therefore, the correct answer is a) 36 feet.