You have made a rectangular quilt that is 5 ft by 4 ft. you want to use the remaining 10 square feet of fabric to add a decorative border of uniform width to the quilt. what should the width of the quilt's border be?

The width of the border will be 0.5 ft

Explanation

The length of the rectangular quilt is 5 ft and width is 4 ft.

So, the area of the rectangular quilt

Lets assume, the width of the quilt's border is ft.

So, the total length of the quilt including the border will be (2x+5) ft and width will be (2x+4) ft

So, the area of the quilt including the border = (2x+5)(2x+4) ft²

As the area of the border is 10 ft² , so the equation will be ...

Now applying zero-product property, we will get...

and

As the width of the border can't be negative, so we will only take x = 0.5 ft

So, the width of the border will be 0.5 ft

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

c is the answer

step-by-step explanation: