Question

IF YOU HELP YOU GET A MEDAL!!!
You are making a square quilt with the design
shown below. Find the side length x of the inner square that would make its area equal to 30% of the total area of the quilt. Round to the nearest tenth of a foot.

3 ft

3.3 ft

4.2 ft

12 ft

Answer 1

here is the photo

Answer 2

Find the total area, then find it's 30%

Answer 3

3.3

Answer 4

30% of 36 = 10.8
\[\sqrt{10.8} \approx 3.3\]

Answer 5

Area of the bigger square = 6*6 = 36 units^2

Now find it's 30%
\[\frac{30}{100} \times 36\]
\[10.8 units^2\]

Now
area = l^2
10.8 = l^2
l = sqrt(10.8)
l = 3.28 units.

So x = 3.28