Here is part of a bus timetable: Bus Station
a)
07 00
07 50
08 40
A bus leaves Hope Street at
07 54. What time should it
arrive at School Road?
Hope Street
07 04
07 54
08 44
b)
Church Street
07 09
07 59
08 49
Jo's school is on School Road.
Jo needs to get there at 8am.
What is the time of the latest
bus that she can catch from
the bus station?
School Road
07 14
08 04
08 54
High Street
07 20
08 10
09 00
c) How long does the bus take to
travel from the bus station to
School Road?
Bus Station
07 40
08 30
09 20

a)08:04

B)07:00

C)14 minutes

Step-by-step explanation:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

idk

step-by-step explanation: i just don't