Arectangular room that is 3 feet longer than it is wide has area of 54 square feet how many feet long is the room

The room is 9 feet long.

Step-by-step explanation:

Lets take the width of the room as feet.

Then, the length of the room will be feet.

Are of a rectangle = Length * Width

⇒

⇒

⇒

⇒

⇒

⇒

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Thefore either,

                 or              

                    or              

is the width of the room, so a width cannot have a negative value. So we take the positive value.

Therefore,

⇒ Width of the room is 6 feet.

Length of the room = = =9 feet.

Therefore the room is 9 feet long.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"