The total distance around dave's rectangular-shaped bedroom is 220 feet. the width of the room is 50 feet. what is the area of dave's bedroom in square feet?

Area of rectangular bedroom = 3000 square feet

Step-by-step explanation:

It is given that the total distance around the rectangular bedroom is 220 feet

perimeter of rectangle = total distance around the rectangle

hence the perimeter of rectangle = 220 feet

now width of rectangle = 50 feet

Let us assume the length of rectangular room be L

we have formula

now we plug perimeter = 220 and width = 50

so we have

       (divide both side by 2)

     (subtract 50 from both side )

Area of rectangular bedroom is given by

Area = length × width

Area = 60 × 50

Area = 3000 square feet

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet