Question

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.
What percent of the design is floral fabric?

Use 3.14 for π. Round your answer to the nearest whole percent.
50 POINTS!!

Answer 1

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,

$A=a^2$

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,

$A=\dfrac{8\pi}{4}\\A=2\pi$

The area of the semicircle is half of πr², where r is the radius of the circle. Therefore,

$A=\dfrac{\pi r^2}{2}\\2\pi=\dfrac{\pi r^2}{2}\\4=r^2\\r=2$

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,

$A=2^2\\A=4\rm\; in^2$

Thus, the percent  floral fabric in the design is,

$p=\dfrac{4}{8\pi+4}\times100\\p=\dfrac{4}{8\times3.14+4}\times100\\p=13.73\%$

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;

brainly.com/question/1658516

Answer 2

Answer:

38.91.

Im not sure but let me know if it's wrong

round it to 34%