To find the length of the crate, we can use the formula for the volume of a rectangular prism:
Volume = length x width x height
We are given that the volume of the crate is 84 yd³, the width is 23 yd, and the height is 4 yd. Substituting these values into the formula, we get:
84 = length x 23 x 4
To solve for the length, we can divide both sides by 23 x 4:
84 ÷ (23 x 4) = length
Simplifying the left side of the equation, we get:
84 ÷ (23 x 4) = 0.913043478
Therefore, the length of the crate is approximately 0.913043478 times the width, or:
Length ≈ 0.913043478 x 23 yd = 21 yd (rounded to the nearest whole number)
Therefore, the length of the crate is approximately 21 yards.