Question

What is the area of a triangle with a base of `2x+3`, and a height of `3x-8`?

Answer 1

`"area "=3x^2-7/2x-12`

Explanation:

`"the area (A) of a triangle is calculated using the formula"`

`•color(white)(x)A=1/2xx"base "xx"height"`

`color(white)(xxxx)=1/2(2x+3)(3x-8)`

`color(white)(xxxx)=1/2(6x^2-7x-24)`

`color(white)(xxxx)=3x^2-7/2x-12`

Answer 2

Area of triangle `color(maroon)(= (6x^2 - 7x - 24)/2`

Explanation:

Area of triangle `A_t = (1/2) b h`

`b = (2x + 3), h = 3x - 8`

`A_t = (1/2) * (2x + 3) * (3x - 8)`

`A_t = (6x^2 + 9x - 16x - 24) /2`

`color(maroon)(A_t = (6x^2 - 7x - 24)/2`