The vegetable patch is a trapezoid.
The formula for a trapezoid is A=[(a+b)/2]*h
we can substitute to get A=[(5+7)/2]*10
we solve this and get 60 meters
solving for the flower bed, we use (b*h)/2 since it is a triangle
substituting we get (3*8)/2
this simplified is 12
we add 12 and 240 to get a area of the flower bed and vegetable garden to be 72 meters
we calculate the total area by multiplying lw. we substitute to get 10(14) and get a total area of 140
we subtract 72 from 140 to get an answer of 68 sq m
