Answer:
[tex]L = \dfrac{3}{4} ft[/tex] side length of one square
Step-by-step explanation:
the side lengths of the quilt is:
length = 4.5 ft
breadth = 3 ft
[tex]Area = length \times breadth[/tex]
[tex]Area = (4.5)(3)[/tex]
[tex]Area = 13.5 ft^2[/tex]
We also know that the areas of all 24 squares add up to fill this area of 13.5 [tex]ft^2[/tex] as well
Hence,
[tex]Area = 24 \times (square)[/tex]
[tex]13.5 = 24 x square[/tex]
to find the area of one square just divide 13.5 by 24
[tex]square = 0.5625 ft^2[/tex]
to find the side length of one square recall the area formula for a square.
[tex]Area\,of\,square = L\times L\,or\,L^2[/tex]
[tex]0.5625 = L^2[/tex]
[tex]L = \sqrt{0.5625}[/tex]
[tex]L = \dfrac{3}{4} ft[/tex] length of side length of one square.
NOTE:
You can do this easily by dividing the side length of either side of the quilt by the number of squares on that side of the quilt.
[tex]side\,length\,of\,one\,square = \dfrac{side\,length\,of\,quilt}{number\,of\,squares}[/tex]
[tex]side\,length\,of\,one\,square = \dfrac{4.5}{6}[/tex]
[tex]side\,length\,of\,one\,square = \dfrac{3}{4} ft[/tex]
