Question

Cody is designing a pattern for a wood floor. The length of the pieces of wood are 1(1)/(2) inches, 1(13)/(16) inches, and 2(1)/(8) inches. What is the length of the 5 th piece of wood if the pattern continues?

(A) 2(7)/(16) inches
(B) 2(3)/(4) inches
(C) 3(1)/(2) inches
(D) 4 inches

Answer 1

The length of the 5th piece of wood is approximately 5&frac{23}{32} inches.

Step-by-step explanation:

To find the length of the 5th piece of wood, we can look for a pattern in the lengths of the pieces of wood. The first piece is 1½ inches long, the second piece is 1&frac{13}{16} inches long, and the third piece is 2⅛ inches long. We can see that each piece is longer than the previous piece by a difference of 3¼ inches. So, to find the length of the 5th piece, we can add 3¼ inches to the length of the third piece

Length of 5th piece = 2⅛ inches + 3¼ inches = 5&frac{23}{32} inches.

Therefore, the length of the 5th piece of wood is approximately 5&frac{23}{32} inches.