Separate the figure into the two shapes: a square and a trapezoid.
The sides of a square are all equal.
Therefore the square has a perimeter of 30 inches (because only three of its sides make up the whole shape)
An isosceles trapezoid has two sides that are equal: the two sides that are opposite each with length 5.
This means that 5 + 5 + 4 = 14.
Add the two perimeters up and you get 44inches.