Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when its height is 6 ft?
A=0.5h^2+2h;30ft^2
To find the area of a triangle, we can use the formula A = 1/2 * base * height.
The given condition states that the base of the triangle is 4 ft more than the height. So, we can write the base as height + 4.
Now, let's substitute the values into the formula to find the area when the height is 6 ft:
A = 1/2 * (height + 4) * height
A = 1/2 * (6 + 4) * 6
A = 1/2 * 10 * 6
A = 30 square feet
Therefore, when the height of the triangle is 6 ft, the area of the triangle is 30 square feet.
To find the area of a triangle, we can use the formula:
Area = (base * height) / 2
In this case, we are given that the base of the triangle is 4 ft more than the height.
So, if the height is represented by 'h' (in feet), the base will be 'h + 4' (in feet).
Therefore, the function rule for the area of the triangle can be defined as:
Area = ((h + 4) * h) / 2
Now, to find the area of the triangle when the height is 6 ft, we can substitute the value of 'h' as 6 in the above formula:
Area = ((6 + 4) * 6) / 2
= (10 * 6) / 2
= 60 / 2
= 30 square feet
Hence, the area of the triangle, when its height is 6 ft, is 30 square feet.
area = (1/2)x(x+6)
replace x with 6 to evaluate