Answer:
34 5/8 inches
Explanation:
Let the two strips be fabric A and fabric B
Fabric A= 14 3/4 inches
Fabric B = 20 7/8 inches
To form one length, the strips are sown together using 1/2 inch
Length after sewing=
Fabric A - 1/2 inch
= 14 3/4 inches - 1/2 inch
= 59/4 - 1/2
= 59-2 /4
= 57/4 inches
Length after sewing=
Fabric B - 1/2 inch
= 20 7/8 inches - 1/2 inch
= 167/8 - 1/2
= 167-4 /8
= 163/8 inches
Final length of the fabric after two strips are sewn together
= 57/4 inches + 163/8 inches
= 114+163 /8
= 277/8
= 34 5/8 inches
Final length of the fabric after two strips are sewn together= 34 5/8 inches