Answer:
total cost of putting carpet in both rooms is $3692.42
Step-by-step explanation:
given data 
living room length = 24 feet 
living room width = 15 feet 
dining room is square so length and width will be same 
dining room length = 13 feet 
dining room width = 13 feet 
carpet costs =  $6.98 per square foot
to find out
what is the total cost of putting carpet in both rooms
solution
first we find the total area of both room that is 
area of living room = length × width      .................1
area of living room = 24 × 15
area of living room = 360 feet²      ...........................2
and 
areas of dining room = length × width
area of dining room = 13 × 13 
area of dining room = 169 feet²    ...............................3
so total area = add equation 1 and 2 
total area = 360 feet² + 169 feet²   
total area = 529 feet²  
and 
total cost of putting carpet in both rooms are = total area × carpet costs    .................4
put here value
total cost of putting carpet in both rooms  = 529  ×  $6.98 
total cost of putting carpet in both rooms  =$3692.42