SOLUTION: A triangular sail has an area of x^2 + 5x +6 square meters and a height of x + 3 meters. Find the length of the sail’s base. I have worked this problem 3 times and have come up wit
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Question 140925This question is from textbook UoP Special Edition Elementary and Intermediate Algebra
: A triangular sail has an area of x^2 + 5x +6 square meters and a height of x + 3 meters. Find the length of the sail’s base. I have worked this problem 3 times and have come up with 3 different answers. I know that A=1/2bh. So in this problem A= x^2 + 5x +6, so x^2 + 5x +6 = 1/2b(x+3). So I multiply both sides of the equation by 2 to remove the fraction. This results in 2x^2 + 10x + 12 = b(2x+6). Then I divided both sides by (2x+6). This is where I start having problems. The latest answer I got is x+3+-(6 over 2x+6)=b. I hope this all makes sense, since I can't format it the way it should look. Any help would be greatly appreciated.
This question is from textbook UoP Special Edition Elementary and Intermediate Algebra
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
A triangular sail with an area of: square meters and a height of: meters, find the length of the sail's base.
Starting with the formula for the area of a triangle:
Solve for b. Multiply both sides by 2.
Divide both sides by h.
Make the appropriate substitution:
Simplify.
Perform the indicated division.
Check:
Use FOIL to multiply the binomials.
Simplify the right side.
Perform the indicated multiplication.
Check!
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