SOLUTION: I have a yard that is a triangle. My sides measure 110 ft by 120 ft by 150 ft. If 1 bag of fertilizer covers 1200 square ft. how many bags will I need to cover the yard?

Algebra ->  Triangles -> SOLUTION: I have a yard that is a triangle. My sides measure 110 ft by 120 ft by 150 ft. If 1 bag of fertilizer covers 1200 square ft. how many bags will I need to cover the yard?      Log On


   

Question 21529: I have a yard that is a triangle. My sides measure 110 ft by 120 ft by 150 ft. If 1 bag of fertilizer covers 1200 square ft. how many bags will I need to cover the yard?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use Heron's formula to find the area of your triangular yard.
A+=+sqrt%28S%28S-a%29%28S-b%29%28S-c%29%29 where: S = semi-perimeter of the triangle S=190 ft) and a, b, & c are the lengths of the sides of the triangle.
A+=+sqrt%28190%28190-110%29%28190-120%29%28190-150%29%29
A+=+sqrt%28190%2880%29%2870%29%2840%29%29
A+=+sqrt%284256000%29
A+=+6523.8square feet. Divide this by 1200 sq.ft. per bag.
6523.8%2F1200+=+5.4
You will need 6 bags of fertilizer