Question

A triangle has a base length of 2ac? and a height 6 centimeters more than the base length. Find the area of thetriangle if a = 4 and c = 2.O 1,216 cm?O 608 cm?AO576 cm?O224 cm?

Answer 1

Take into account that the area of the triangle is given by:

`A=(1)/(2)bh`

where,

b: base length of the triangle = 2ac^2

h: height of the triangle = 6 + 2ac^2

in this case, a = 4 and c = 2.

Replace the given expressions for b and h and then replace the values of a and b:

`\begin{gathered} A=(1)/(2)(2ac^2)(6+2ac^2) \\ A=(1)/(2)(2\cdot4\cdot2^2)(6+2\cdot4\cdot2^2) \\ A=(1)/(2)(32)(6+32) \\ A=(1)/(2)(32)(38) \\ A=608 \end{gathered}`

Hence, the area of the given triangle is 608 cm^2