We’re calculating perimeter, so we add up the length of all 4 sides, or multiply (l + w) x 2. Since the room is square, we only need the one measurement.
11.4 x 4 = 45.6 feet
BAD=BCD(base angle ,isosceles triangle)
ABD=CBD(given)
BAD+BCD+ABC=180(angle sum of triangle)
36+36+ABC=180
ABC=108
ABC=ABD+CBD
CBD=108/2
=54
therefore
x=54
A/sin(A)=b/sin(B)
x/sin(57) = 32/sin(81)
x = (32/sin(81))*sin(57) = 27.172
Multiplication Identity property