Question

A farmer has determined that a crop of strwberries yields a yearly profit of $1.50 per square yard. If strawberries are planted on a triangul;ar piece of land whose sides are 50 yards, 75 yards, and 100 yards, how much profit to the nearest hundred dollars, would the farmer expect to make from this piece of land during the next harvest.

Answer 1

$2700

Explanation:

Using Heron's formula, we can find the area of the triangle to be ...

A = √(s(s -a)(s -b)(s -c)) . . . . where s=(a+b+c)/2 and a, b, c are the sides

Here, we have ...

s = (50 +75 +100)/2 = 225/2 = 112.5

A = √(112.5 · 62.5 · 37.5 · 12.5) ≈ 1815.461 . . . square yards

Then the profit is expected to be ...

(1815.451 yd²)($1.50/yd²) = $2723.19 ≈ $2700

The farmer expects a profit of about $2700 from that crop.