Answer:
514,400 plants.
Step-by-step Explanation:
From the attached diagram given below which shows the coordinate grid, we can say the shape of the farm is that of a trapezium.
Number of plants to be planted by the farmer at 40,000 plants per acre = area of land in acres * 40,000.
Let's find the area of the land(trapezium):
Area of trapezium = ½(a+b)*h
From the coordinate grid, from point E to H on the y-axis, we have 900 units = 900 ft (Given that 1 unit = 1 foot).
Also, from F to G, we have 500 units = 500ft; and the height of the trapezium is represented by the number of units the trapezium covers on the x-axis = 800units = 800ft.
a = 900ft, b = 500ft, c= 800ft
==> Area of Land/trapezium = ½(a+b)*h
= ½(900+500)*800
= ½(1400)*800
= 700*800 = 560,000ft²
Given that 1acre = 43,560ft²
x acre = 560,000ft²
x = 560,000*1 /43,560
x = 12.86 acres
Therefore, number of plants to be planted = 12.86 acres * 40,000 plants = 514,400 plants.
