the base of a triangular sail is x feet and its height is 1/2x+7 feet.which expression represents the sails area?
A=bh/2 = x(x/2+7) / 2 = (x^2/2 + 7x)/2
= x^2/4 + 7x/2 = x^2/4 + 14x/4.
To find the area of a triangular sail, we can use the formula:
Area = (base * height) / 2
Given that the base of the sail is x feet and the height is (1/2x + 7) feet, we can substitute these values into the formula to get the expression for the sail's area.
Area = (x * (1/2x + 7)) / 2
Now, let's simplify this expression step by step.
1. Distribute x by multiplying it with each term within parentheses:
Area = (x/2 * x + x * 7) / 2
2. Simplify further:
Area = (x^2/2 + 7x) / 2
So, the expression that represents the sail's area is (x^2/2 + 7x) / 2.