Question

A carpenter cuts off \[1.3inches\] from a \[4-foot\] board. What is the new length of the board in inches?
(A) \[2.7inches\]
(B) \[46.7inches\]
(C) \[49.3inches\]
(D) \[58.7inches\]

Answer 1

Hint: We are given a \[4-foot\] board and from this board a carpenter cuts off \[1.3inches\]. We are asked in the question to find the new length of the board in inches. Firstly, we will have to convert the given values given in other units to inches. We know that, one foot equals to 12 inches, so 4 foot will measure equal to 48 inches, that is, \[4-foot=48inches\]. Now, since the carpenter has cut off \[1.3inches\], so we will subtract \[1.3inches\] from \[48inches\]. Hence, we will have the value of the new length of the board.

Complete step-by-step solution:
According to the given question, we are given a board of length \[4-foot\]. We are told that a carpenter cuts off \[1.3inches\] from the given board and we are asked to find the new length of the board in inches.
Firstly, we will make sure that all given values are in the same units. If not, we will convert it to inches equivalent.
We are given the length of the board = \[4-foot\]
We know that, one foot is equal to 12 inches, so for 4 foot, we have,
\[4-foot=48inches\]
So, the length of the board = \[48inches\]
Now, the carpenter cuts off \[1.3inches\] from the board, that is, we will subtract \[1.3inches\] from the length of the board, so the new length of the board is,
New length of the board = \[48inches-1.3inches\]
\[\Rightarrow 46.7inches\]
Therefore, the new length of the board is (B) \[46.7inches\].

Note: Before starting with the calculation make sure that all the values given to us are in the same units, else the calculation will result in a wrong answer. Suppose, you forget to forget to convert 4 – foot to inches and directly subtract 1.3 inches from it, we will get,
\[4-1.3\]\[\Rightarrow 2.7inches\], which is clearly the incorrect answer. Also, the subtraction operation should be carried out correctly as well.