Answer:
[tex]Measurement = 0.75ft[/tex]
Step-by-step explanation:
See attachment for complete question
Method 1:
Considering the width and length of the quilt
Given
[tex]Number\ of\ squares = 24[/tex]
Required
Determine the dimension of 1 square
The width of the quilt is 4.5ft and there are 6 squares in that dimension.
Each measurement is calculated as thus:
[tex]Measurement = \frac{4.5ft}{6}[/tex]
[tex]Measurement = 0.75ft[/tex]
Or
The length of the quilt is 3ft and there are 4 squares in that dimension.
Each measurement is calculated as thus:
[tex]Measurement = \frac{3ft}{4}[/tex]
[tex]Measurement = 0.75ft[/tex]
Method 2:
Calculate the area of the quilt.
[tex]Area = 4.5ft * 3ft[/tex]
[tex]Area = 13.5ft^2[/tex]
The area of 1 of the 24 squares is calculated by dividing the total area by number of squares
[tex]Area = \frac{13.5ft^2}{24}[/tex]
[tex]Area = 0.5625\ ft^2[/tex]
Represent the dimension of individual square with L
Area of a square is:
[tex]Area = L * L[/tex]
This gives:
[tex]L * L = 0.5625[/tex]
[tex]L^2 = 0.5625[/tex]
Take square root of both sides
[tex]L = \sqrt{0.5625[/tex]
[tex]L = 0.75ft[/tex]
Hence, the dimension of each square is 0.75ft
