Question

post test: coordinate geometry
d-a represented on the coordinate plane. what distance will the rover cover if it completes one circuit?
a. 36 meters
b. 40 meters
c. 54 meters
d. 60 meters

Explanation:

Step1: Identify vertex coordinates

$A(11,2), B(11,4), C(2,16), D(2,2)$

Step2: Calculate length of AB

Subtract y-values: $4-2=2$ meters

Step3: Calculate length of DC

Subtract y-values: $16-2=14$ meters

Step4: Calculate length of AD

Subtract x-values: $11-2=9$ meters

Step5: Calculate length of BC

Use distance formula: $\sqrt{(11-2)^2+(4-16)^2}=\sqrt{81+144}=\sqrt{225}=15$ meters

Step6: Sum all side lengths

$2+14+9+15=40$ meters

Answer:

B. 40 meters