Answer:
We need to solve given additions of measurements.
We use following conversion to simplify the answer.
1 yard = 3 foot
1 foot = 12 inches
1 square yard = 9 square foot
1 square foot = 144 square inches
Now,
1). 2 ft. 5 in. + 9 yd. 3 ft. 2 in.
            2 ft. 5 in. 
+  9 yd. 3 ft. 2 in.  
_______________
= 9 yd.  5 ft. 7 in.
Using Conversion scale, 5 ft = 1 yd 2 ft
9 yd 5 ft 7 in = 10 yd   2ft  7 in
2).  4 yd. 8 in + 6 yd. 6 in. 
   4 yd. 8 in 
+ 6 yd. 6 in.  
__________
= 10 yd. 14 in.
Using Conversion scale, 14 in = 1 ft 2 in
10 yd 14 in  = 10 yd 1 ft 2 in
3). 29 yd. 2 ft. 11 in. + 55 yd. 1 ft. 10 in. + 13 yd. 1 ft. 3 in. 
   29 yd. 2 ft. 11 in. 
+ 55 yd. 1 ft. 10 in. 
 + 13 yd. 1 ft.   3 in. 
_______________
= 97 yd. 4 ft.  24 in.
Using Conversion scale, 24 in = 2 ft  
97 yd 4 ft  24 in = 97 yd 6 ft
Again  Using Conversion scale, 6 ft = 2 yd
 97 yd 6 ft = 99 yd
4). 4,839 sq. yd. 8 sq. ft. 139 sq. in. + 7 sq. ft. 124 sq. in.
   4,839 sq. yd.     8 sq. ft.    139 sq. in. 
+                             7 sq. ft.   124 sq. in. 
______________________________
=  4839  sq yd.     15 sq ft.    263 sq in.
Using Conversion Scale, 263 sq in = 1 sq ft 119 sq in
4839  sq yd  15 sq ft   263 sq in = 4839 sq yd 16 sq ft 119 sq in
Again  Using Conversion scale, 16 sq ft =  1 sq yd 7 sq ft
4839 sq yd 16 sq ft 119 sq in = 4840 sq yd 7 sq ft 119 sq in