Question

Mr. Yamamoto has a piece of plywood that is 15 1/ 2 ft. long and 12 3/4 ft. wide. He needs to cut the wood into 12 pieces for the students in his carpentry class. Mr. Yamamoto cuts the length into 4 equal pieces and the width into 3 equal pieces. What are the dimensions of each piece? Express the answers in simplest form.

Answer 1

To find the length of each piece, we divide the total length of the plywood by the number of pieces:

$\dfrac{15 \frac{1}{2}\text{ ft}}{4} = \dfrac{31}{2}\div4 = \dfrac{31}{2}\div2 = \dfrac{31}{4} = 7\frac{\text{3}}{4}\text{ ft}$

So each piece is $\boxed{7\frac{3}{4}}$ ft long.

To find the width of each piece, we divide the total width of the plywood by the number of pieces:

$\dfrac{12\frac{3}{4}\text{ ft}}{3} = \dfrac{51}{4}\div3 = \dfrac{51}{4}\div3 = \dfrac{51}{12} = 4\frac{3}{12} = 4\frac{1}{4}\text{ ft}$.

So each piece is $\boxed{4\frac{1}{4}}$ ft wide.

Answer 2

just list the answers

Answer 3

The dimensions of each piece are:
Length: 7 3/4 ft
Width: 4 1/4 ft

Answer 4

length is wrong

Answer 5

Apologies for the error.

The correct dimensions of each piece are:
Length: 3 7/8 ft
Width: 4 1/4 ft

Answer 6

right

Answer 7

Thank you for your understanding.