Maria makes a quilt. The main design is 5 feet long on each side. Then she adds a border around the main design. The finished quilt has an area of 36 square feet. 1. What is the length of one side of the finished quilt?
2. By how much does the border increase the total length of each side of the quilt?

3. The border goes around the whole quilt. What is the width of the border?

The length of one side of the finished quilt is 6 feet.

The border increases the total length of one side by one foot.

The width of the border is 6 inches.

Step-by-step explanation:

The area of the finished quilt is given as 36 square feet.

To find the length of one side, take the square root of 36.

√36 = 6.  That is the new length:  6ft

So the finished length is 1 foot longer than before the border is added.

The border is the same on all sides, so  half a foot on each side,

A foot is 12 inches. half is 6 inches  So the border is 6 inches wide.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180