Question

Dana has a piece of lumber that is 22^2 feet long. She needs pieces that are 3^4 feet long. How many pieces can she cut from the 22-foot piece of lumber?

a) 2
b) 4
c) 8
d) 16

Answer 1

Dana can cut 8 pieces from the 22-foot piece of lumber. The correct answer is option: c) 8.

Step-by-step explanation:

To find the number of pieces Dana can cut from the 22-foot piece of lumber, divide the length of the lumber by the length of each piece. Divide 22 by 3¼ to get the number of pieces.

1. Convert both lengths to the same unit. Since both measurements are already in feet, no conversion is needed.
2. Divide 22 by 3¼. To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction.
3. The reciprocal of 3¼ is 4/13 (flip the fraction).
4. So, 22 ÷ 3¼ = 22 × 4/13 = 8 pieces.

Therefore, Dana can cut 8 pieces from the 22-foot piece of lumber.