Question

Find the area of the triangle in terms of the variable y if the base of the triangle is (4y - 6) meters and the height is (8y + 5) meters. Enter your answer in standard form, ay2 + by + c.

Answer 1

16y²-14y -15

1) Let's visualize this to better understand

2) Now let's plug that into the Triangle's area formula:

`\begin{gathered} S=(b\cdot h)/(2) \\ S=((4y-6)(8y+5))/(2) \\ S=(32y^2+20y-48y-30)/(2) \\ S=(32y^2-28y-30)/(2) \\ S=(32y^2)/(2)-(28y)/(2)-(30)/(2) \\ S=16y^2-14y-15 \end{gathered}`

3) SO the answer is S=16y²-14y -15