The area in square meters for a triangular sail is given by A(x) = x2 + 5x + 6. x = (5)
the height of the sail is x+3 is the length of the base x+2?
This question has typos. It does not make sense as typed.
If the area is x^2+5x+6m^2 and we know the area is a square which is base times height, we can factor the equation so that it comes out to (x+3)(x+2)since the height is x+3 then we know the base is x+2. (is this correct)
It would be correct for a rectangle, not fo a square.
To determine if the length of the base of the sail is x+2, we need to understand the relationship between the height, the base, and the area of a triangle.
The formula for the area of a triangle is:
A = 1/2 * base * height
In this case, the area of the sail is given by the function A(x) = x^2 + 5x + 6, where x represents an input value.
To find the height of the sail, we are given that the height is x+3.
Now, let's substitute the given values into the formula and see if the area equation holds true:
A(x) = 1/2 * (x + 2) * (x + 3)
Expanding and simplifying:
A(x) = 1/2 * (x^2 + 3x + 2x + 6)
A(x) = 1/2 * (x^2 + 5x + 6)
This matches the given area equation A(x) = x^2 + 5x + 6.
Therefore, the length of the base is indeed x+2, since it satisfies the formula for the area of a triangle.