Answer:
Expression: (4x^2 + x)/2
Area: 75
Explanation:
Given that:
Height, x = 6
Base, 4x + 1
Now let's form an expression for area, but first we need to know the formula for the area of a triangle, which is:
A = BH · 1/2
Where,
B = base
H = Height
Now let's make the expression:
A = BH · 1/2
A = (4x + 1)(x) · 1/2
A = (4x^2 + x) · 1/2
A = (4x^2 + x)/2, is your expression.
Now, let's find the actual area by plugging in the actual values into the expression:
A = (4x^2 + x)/2
A = (4(6)^2 + 6)/2
A = (4(36) + 6)/2
A = (144 + 6)/2
A = (150)/2
A = 75, is your area.