A. the total area of the model is 130 m2. write an equation to find x.b. solve the equation by completing the square. (x + 2)(2x + 2) = 130; x = 5.12 m (x + 2)(2x + 2) = 130; x = 6.70 m (x + 2)(2x + 2) = 130; x = 6.58 m (x + 2)(x + 2) = 130; x = 9.40 m

the complete question in the attached figure

we know that

[area of rectangle]=b*h
b=(x+2)
h=(2x+2)
Area=130 m²

then

130=(x+2)*(2x+2)--------> 2x²+2x+4x+4-130=0--------> 2x²+6x-126=0

the answer Part a)
the equation to find x is
 [2x²+6x-126=0]

b.)  solve the equation by completing the square

130=(x+2)*(2x+2)

using a graph tool
see the attached figure

the solution is 
x=6.58 m

the answer Part b) is 
(x + 2)(2x + 2) = 130; x = 6.58 m