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.(1 point)
inches long;
inches wide
To find the dimensions of each piece, we need to divide the length and width of the plywood by the number of pieces (12).
Length of each piece: 15 1/2 ft / 4 pieces = (31/2) ft / 4 = (31/2)/(4/1) = (31/2) * (1/4) = 31/8 ft
Width of each piece: 12 3/4 ft / 3 pieces = (51/4) ft / 3 = (51/4)/(3/1) = (51/4) * (1/3) = 51/12 ft
To convert the dimensions to inches, we need to multiply by 12 (since there are 12 inches in a foot):
Length of each piece: (31/8) ft * 12 inches/ft = 31/8 * 12 = (31 * 3) / 2 = 93/2 inches
Width of each piece: (51/12) ft * 12 inches/ft = 51/12 * 12 = 51 inches
So, each piece will have dimensions of 93/2 inches long and 51 inches wide.