Question

The formula for the area A of a triangle with base length b and height / is as follows.

A
4= 1/2bh
Suppose the height of the triangle is 6 units longer than the base length. Rewrite A in terms of b only.
It is not necessary to simplify.
A =

Answer 1

A = 1/2b^2 + 3b

Explanation:

If the height of the triangle is 6 units longer than the base length, we can represent the height with the variable h and the base length with the variable b.

h = b + 6

We can substitute h with b+6 in the formula for the area of the triangle:

A = 1/2bh

A = 1/2b(b+6)

So, the area of the triangle can be represented in terms of b only, as

A = 1/2b^2 + 3b