Respuesta :

A = bh/2 , with the area 50 m², so: 

50 = bh/2 
100 = bh 

And the height is twice the base: 

h = 2b 

substitute and solve: 

100 = bh 
100 = b(2b) 
100 = 2b² 
50 = b² 
b = √50 
b = √(25 * 2) 
b = 5√2 

Now we can solve for h: 

h = 2b 
h = 2(5√2) 
h = 10√2 

I would rather keep it in radical form, but if you are told to round to 1 DP, we have: 

b ≈ 7.1 m 
h ≈ 14.1 m