A) The distance around a rectangular room is 44 feet, and 120 tiles (each one is 1 sq. foot in size) are needed to cover the floor of the room. What are the floor dimensions?

The floor dimensions are 12 ft ×10 ft.

Let the length and breadth of the rectangle be x and y.

The perimeter of the rectangular room is P=2(x+y)

1 tile=1 sq. ft.

120 tiles=120 sq.ft.

Area of the rectangular room=120 sq.ft.

So, xy=120

Put y=22-x in xy=120

if x=12then y=22-12=10

 if x=10 then y=22-10=12

 Therefore, the floor dimensions are 12 ft ×10 ft

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Step-by-step explanation:

let x and y be the sides of the rectangle.

2(x+y)=44

x+y=44/2=22

y=22-x

1 tile=1 sq. ft.

120 tiles=120 sq.ft.

area=120 sq.ft.

xy=120

x(22-x)=120

22x-x²=120

x²-22x+120=0

x²-12x-10x+120=0

x(x-12)-10(x-12)=0

(x-12)(x-10)=0

x=12,10

if x=12

y=22-12=10

if x=10

y=22-10=12

floor dimensions are 12 ft ×10 ft

answer:

what is your question that you ask

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d