The area of a triangular-shaped wall is (10x? + 20.5x + 14) m². The base of the wall is (4x + 7) m long. How tall is the wall?, express you answer as a binomial
We can use the formula for the area of a triangle to set up an equation:
A = (1/2)bh
where A is the area, b is the base, and h is the height. We can substitute the given values:
10x² + 20.5x + 14 = (1/2)(4x + 7)h
Multiplying both sides by 2:
20x² + 41x + 28 = (4x + 7)h
We can divide both sides by (4x + 7) to isolate h:
h = (20x² + 41x + 28) / (4x + 7)
This expression cannot be simplified any further, so our final answer is:
h = 5x + 4