Answer:
Base of quilt is 8 inch.
Explanation:
Refer to the attachment.
Given that pattern on the quilt is right angle triangle. Consider ΔABC as right angle triangle where ∠ABC=90°.
Given that area of triangle is 24 in² and height is 6 inch that is, AB = 6 inch.
To find the base use formula for area of right angle triangle.

Substituting the values,

Simplifying,

Multiplying both sides by
,

Simplifying,

Dividing the numbers,

Therefore, length of base of each quilt piece is 8 inch.