Question

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.

The quit is 6 feet wide and 6 feet long(Duh it's a square.).

Answer 1

What is the given design?

Answer 2

The design is a square. So the entire quilt is a square and the design inside is a cube.

Answer 3

Well first find the total area of the quilt.

Answer 4

36 feet squared?

Answer 5

Yep and now find the area of the inside square, which is 30% of the total. So 30% of 36 is?

Answer 6

30%= 10.8

Answer 7

Right! The inside area = 10.8 ft. Now you need to use that to find the length of each side. \[A= x^2\] so \[x=\sqrt{A}\]

Answer 8

So l = 3.286335?

Answer 9

You got it!

Answer 10

Okay thank you!

Answer 11

No problem!