What is the area of this shaded region?

21π in²

A is correct

Step-by-step explanation:

In the given figure, two concentric circle form.

Diameter of inner circle = 4 in

Thickness between the circle 3 in

Diameter of outer circle = 4 + 3 + 3 = 10 in

Radius is half of diameter of circle.

Outer circle radius, R = 5 in

Inner circle radius, r = 2 in

Formula:

Area of circle

Area of shaded region = Area of outer circle - Area of inner circle

Hence, The area of shaded region is 21π in²

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet