Answer:
The length of the missing piece is 2 ft 3 inches
Step-by-step explanation:
Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.
Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces
That would be;
10 ft - 4 ft 7 inches - 3 ft 2 inches
In a foot there are 12 inches
Thus
10 ft = 10 * 12 = 120 inches
4 ft 7 inches = 4(12) + 7 = 55 inches
3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches
Thus the length of the remaining piece would now be;
120 -55 -38 = 27 inches
That is same as 24 + 3 inches
24 inches = 2 ft
So 27 inches = 2 ft 3 inches