Question

A) The distance around a rectangular room is 44 feet, and 120 tiles (each one is 1 sq. foot in size) are

Answer 1

Answer:

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