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son4ous [18]
3 years ago
6

A quilted block users eight parallelogram shaped pieces of clothe each with a base of 3/3/4 inches. How much fabric is needed to

make the parallelogram pieces for 24 blocks? Write in square feet. ( Hint:144in second power =1ft second power
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

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 = 2×3\frac{3}{4} = 7.5 inches

Therefore the area of each parallelogram = base × height

= \frac{15}{4}*\frac{15}{2} = \frac{225}{8} in²

since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is

\frac{225}{8} *8 = 225 in^2

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.

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