Question

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?

Answer 1

Answer:

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

$perimeter = 2( length + width )$

now we plug perimeter = 220 and width = 50

so we have

$220=2(L+50)$        

$110= L+50$        (divide both side by 2)

$L= 60 feet$      (subtract 50 from both side )

Area of rectangular bedroom is given by

Area = length × width

Area = 60 × 50

Area = 3000 square feet