Question

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

Answer 1

The answer to the question is

37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.

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(3)/(4)` = 7.5 inches

Therefore the area of each parallelogram = base × height

=
`(15)/(4)*(15)/(2)` =
`(225)/(8)` in²

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

`(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.