In the figure below, wu ≅ vt.

the congruency theorem can be used to prove that △wut ≅ △vtu.
sss
hl
sas
aas

The congruency theorem gives you an opportunity to prove that two triangles are congruent.

Consider triangles WUT and VTU. In these triangles:

Note that triangles WUT and VTU are right triangles, because m∠T=m∠U=90°. Side TU is common leg and sides WU and VT are hypotenuses.

HL theorem states: if the hypotenuse (WU) and one leg  (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.

correct choice is B

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk