Answer:
The answer to the question is
37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.
Step-by-step explanation:
To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.
Therefore in this question, we select our parallelogram to be a rectangle
Number of pieces of parallelogram in a quilted block = 8
Number of parallelogram in each quadrant of the quilted block = 2
Therefore the height of the rectangle = 2 × the base = 2×[tex]3\frac{3}{4}[/tex] = 7.5 inches
Therefore the area of each parallelogram = base × height
= [tex]\frac{15}{4}*\frac{15}{2}[/tex] = [tex]\frac{225}{8}[/tex] in²
since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is
[tex]\frac{225}{8} *8 = 225 in^2[/tex]
Hence 24 blocks wil require 24×225 in² = 5400 in²
However, since 144 in² = 1 ft² we have
5400 in² = 5400 in²× 1/144 ft²/in² = 37.5 ft².
