SOLUTION: 110The area in square meters for a triangular sail is given by A(x) = x^2+5x+6 a) Find A(5). b) If the height of the sail is x +3 meters, then what is the length of the bas

Algebra ->  Triangles -> SOLUTION: 110The area in square meters for a triangular sail is given by A(x) = x^2+5x+6 a) Find A(5). b) If the height of the sail is x +3 meters, then what is the length of the bas      Log On


   

Question 193889: 110The area in square meters for a triangular sail is given by A(x) = x^2+5x+6
a) Find A(5).
b) If the height of the sail is x +3 meters, then what is the length of the base of the sail?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
+A%28x%29+=+x%5E2%2B5x%2B6
a) Find A(5).
+A%28x%29+=+x%5E2%2B5x%2B6
+A%285%29+=+5%5E2%2B5%2A5%2B6
+A%285%29+=+25%2B25%2B6
+A%285%29+=+56
b) If the height of the sail is x +3 meters, then what is the length of the base of the sail?
Area of a triangle is A+=+bh%2F2
x%5E2%2B5x%2B6+=+b+%2A%28x%2B3%29%2F2
2x%5E2+%2B+10x+%2B+12+=+b+%2A+%28x%2B3%29
%282x%5E2+%2B+10x+%2B+12%29%2F%28x%2B3%29+=+b
%28%28x%2B3%29%282x+%2B+4%29%29%2F%28x%2B3%29+=+b
2x%2B4+=+b+
If you need a nice place to factor expressions. try this
http://72.3.253.76/webMathematica3/quickmath/page.jsp?s1=algebra&s2=factor&s3=basic