Answer:
10
Step-by-step explanation:
height = 2(Base) + 4
h = 2b + 4
Area of Triangle
A= bh/2
15 = b (2b) +4) / 2 multiply both sides by 2 and distribute the b
30 = 2[tex]b^{2}[/tex] + 4b Divide everything by 2
15 = [tex]b^{2}[/tex] + 2b Subtract 15 from both sides
[tex]b^{2}[/tex] + 2b -15 = 0 Look a quadratic. Factor or use quadratic formula
b = 3 or b = -5 Measurements of length can't be negative. So its 3
h = 2(3) + 4 Substitute 3 in to find height
h = 10