This is part of a bus timetable between Birmingham and Coventry, Birmingham 07 02 07 30 08 05 | 08 35 09 02 09 31 a) How many minutes
should the 07 02 bus
Yardley
07 21 07 4908 2408 5409 21 09 50
take to go from
Solihull 07 43 08 11 08 4609 16 09 43 10 12 Birmingham to
Coventry?
Meriden 07 59 08 27|09 0209 32 09 5910 28
92
minutes (1)
Coventry 08 34 09 02 09 3710 07 10 34 | 11 03
b) Steve goes from Birmingham to Coventry by bus,
He takes 9 minutes to walk from his house to the bus stop in Birmingham,
He takes 12 minutes to walk from the bus stop in Coventry to work,
Steve has to get to work by 10 am,
What is the latest time Steve should
leave his house to get to work on time?
(3)
Total marks: 4

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!

answer: your answer is a

i honestly dont know

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation: