Answer:
Height: 48
Base: 34
Step-by-step explanation:
The formula for a triangle is 1/2(base)(height)
1/2(3x+10)(6x) = 816
18x² + 60x = 1632
18x² + 60x - 1632 = 0
Then, we use the Quadratic formula
x = (-60 ± √3600 + 117,504)/36
x =( -60 ± 348/36)
x = 288/36
x = 8
3(8) + 10
= 34
6(8) = 48
Therefore the dimensions are:
Height: 48
Base: 34
