On a coordinate grid, your campsite is located at (3, – 5), and the next checkpoint station is located at (–10, 1). each unit in the coordinate plane represents 2.15 miles. find the distance you have to hike to reach the next checkpoint station. a. about 30.8 miles b. about 17.3 miles c. about 8.1 miles d. about 14.3 miles

 A. about 30.8 miles

The x and y distance from the campsite at A (3, – 5), and the next checkpoint station is located at B (–10, 1) would be:
Xab= Xb- Xa= -10 - 3= -13
Yab= Yb- Ya= 1- (-5)= 6

The resultant distance would be
c^2= a^2+b^2
c^2= (-13)^2 + (6)^2
c= √(169+36)= √205
c=14.32

If each unit in the coordinate plane represents 2.15 miles, the true distance= 14.32*2.15 miles= 30.78 miles

Area of a triangle:
A = a * h / 2
where a is the base and h is the height.
For a new triangle:
A ( new ) = 3 a * 3 h / 2 = 9 * a * h / 2 = 9 A
A ( new ) = 9 * 30 = 270 cm²
The area of resulting triangle is 270 cm² .