Question

gits source Board 170 m 150 m The diagram above represents a soybean field. One corner of the soybean field was not irrigated properly (the bottom left corner in the diagram), so no soybeans could be harvested from that part of the field. The dimensions on the figure are in meters. How much money was lost by the farm if soybeans sold for $12 a bushel that year and an acre of irrigated land yields 54 bushels of soybeans? Show your work and explain your answer. (Note: 1 acre 4,000 square meters.) 39 ≈ Pre-AP Ge​

Answer 1

The amount the farm lost due to the part of the field that was not irrigated properly was $ 959.04

How to find the amount lost ?

The base is 150 meters, and the height is the other leg, which we can find using the Pythagorean theorem:

Height^2 + Base^2 = Hypotenuse^2

Height^2 + 150^2 = 170^2

Height^2 + 22500 = 28900

= 80 meters

Calculate the area of the triangular section:

Area = (1/2) * 150 * 80

Area = 6, 000 square meters

1 acre is approximately 4,000 square meters, we can convert the area to acres:

= 6000 square meters / 4000 square meters per acre

= 1.5 acres

The farm would have lost:

= 1.5 acres * 54 bushels per acre

= 81 bushels

Soybeans were sold for $12 a bushel, then the money lost by the farm would be:

= 81 bushels * $12 per bushel

= $972