The total percent of the design which is floral fabric made in the shape of quilt square is 13.73%.
What is area of square?
Area of square is the square of its sides length. It can be given as,
[tex]A=a^2[/tex]
Here, (a) is the length of the side of the square.
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric.
The area of the solid green fabric is 8π square inches. There are total 8 semicircles made by the solid green fabric. Thus the area of the one semicircle is,
[tex]A=\dfrac{8\pi}{4}\\A=2\pi[/tex]
The area of the semicircle is half of πr², where r is the radius of the circle. Therefore,
[tex]A=\dfrac{\pi r^2}{2}\\2\pi=\dfrac{\pi r^2}{2}\\4=r^2\\r=2[/tex]
This radius of the semicircle is equal to the side of the square. Thus, the area of the side square made with floral fabric is,
[tex]A=2^2\\A=4\rm\; in^2[/tex]
Thus, the percent floral fabric in the design is,
[tex]p=\dfrac{4}{8\pi+4}\times100\\p=\dfrac{4}{8\times3.14+4}\times100\\p=13.73\%[/tex]
Thus the total percent of the design which is floral fabric made in the shape of quilt square is 13.73%.
Learn more about the area of square here;
https://brainly.com/question/1658516
