Question

A triangle has base x+2y and height 4. What is the area?

Answer 1

`A = 2x + 4y`

Explanation:

The formula for the area of a triangle is:

`A = (h_b xx b)/2`

Where:

`A` is the area - what we are trying to calculate
`h_b` is the height from the base - `4` for this problem
`b` is the length of the base - `x + 2y` for this problem

Substituting results in:

`A = (4 xx (x + 2y))/2`

`A = (cancel(4)2 xx (x + 2y))/cancel(2)`

`A = 2 xx (x + 2y)`

`A = 2x + 4y`