Question

How many side pieces 8 1/4 inches long and 6 3/4 inches wide can mr. Penny cut from a wooden plank 9 5/8 feet long and 9/16 foot wide

Answer 1

Answer:Total number of side pieces
`= 14`

Explanation:

To find the number of side pieces we use formula =
`(Area of wooden plank)/(Area of 1 side piece)`

Area of wooden plank
`= length * width`

Length of wooden plank
`=(77)/(8)feet =(77)/(8) * 12` inches

Length
`= (231)/(2)` inches

Width of plank
`= (9)/(16) foot = (9)/(16) * 12 =(27)/(4)` inches

Area of plank
`= (231)/(2) * (27)/(4)` sq inches

Area of 1 side piece
`= (33)/(4) * (27)/(4)` sq inches

Now using formula

Number of pieces
`= (Area wooden plank)/(Area of 1 side piece)`

`=((231)/(2) * (27)/(4) )/ ((33)/(4) * (27)/(4))`

Converting division into multiplication we get,

`=((231)/(2) * (27)/(4) )* ((4)/(27) * (4)/(33) )`

On solving we get

`= 14`

Total number of side pieces
`= 14`