Write the Word or Phrase That Best Completes Each Statement $1,232 \mathrm { ft } ^ { 2 }$

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-A patio is configured from a rectangle with two right triangles of equal size attached at the two ends. The length of the rectangle is 38 ft. The base of the right triangle is 4 ft less than the height of the
Triangle. If the total area of the patio is $1,232 \mathrm { ft } ^ { 2 }$ , determine the base and height of the triangular portions.

A) base $= 21 \mathrm { ft }$ ; height $= 25 \mathrm { ft }$
B) base $= 19 \mathrm { ft }$ ; height $= 23 \mathrm { ft }$
C) base $= 15 \mathrm { ft }$ ; height $= 19 \mathrm { ft }$
D) base $= 18 \mathrm { ft }$ ; height $= 22 \mathrm { ft }$