Q20. - Algebra 1

Question

A board measuring $7.2\text{\hspace{0.17em}\hspace{0.17em}feet}$ must be cut three equal pieces. Find the length of each piece.

Step-by-Step Solution

Answer

The length of each piece is $2.4\text{\hspace{0.17em}\hspace{0.17em}feet}$.

Step 1. Given information.

Length of board $7.2\text{\hspace{0.17em}\hspace{0.17em}feet}$

Number of equal pieces board is cut into $=3$

Step 2. Write the expression for length.

Length of each piece will be given by:

 

$\frac{\text{Length of board}}{\text{Number of pieces}}=\frac{7.2}{3}$

Step 3. Simplify the expression.

$$\begin{gathered} \frac{\text{Length of board}}{\text{Number of pieces}}=\frac{7.2}{3} \\ =\frac{72}{30} \\ =\frac{24}{10} \\ =2.4\text{ feet} \end{gathered}$$