SOLUTION: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. The color guard is making new triangular flags that must have a base of 18 inches to

Algebra ->  Inequalities -> SOLUTION: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. The color guard is making new triangular flags that must have a base of 18 inches to       Log On


   



Question 404082: Use an inequality to solve the problem. Be sure to show the inequality and all of your work.
The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum height of the triangular flags, if they want to use a maximum of 180 square inches of cloth?

Answer by Algebra2you(12) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, the area of a triangle is 1/2bh where b is the base and h is the height
The area for the flag cannot be more than 180 since that's how much cloth there is. Also, the base is given, 18. So let's set up our equation.
1/2(18)h≤180
9h≤180 Simplify
/9 /9 Division property of equality
h≤20 Simplify
So the maximum height is 20 inches.