The total area of the model is 130m2. write an equation to find x. b. solve the equation by completing the square.

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) is
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

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