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

Arectangular room that is 3 feet longer than

funnymee

11.03.2022

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 x+3 feet.

Are of a rectangle = Length * Width

⇒ 54=x*(x+3)

⇒ $54=x^{2} +3x$

⇒ $0=x^{2} +3x-54$

⇒ $x^{2} +3x-54=0$

⇒ $x^{2} +9x-6x-54=0$

⇒ x(x+9)-6(x+9)=0

⇒ (x+9)(x-6)=0

Thefore either,

x+9=0 or x-6=0

x=-9 or x=6

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

Therefore,

x=6 ⇒ Width of the room is 6 feet.

Length of the room = x+3 = 6+3 =9 feet.

Therefore the room is 9 feet long.

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hma9153

25.10.2022

Step-by-step explanation:

c = (b/2)² because b = 2c

If b is negative, then c = (-b/2)² , and x² - bx + c = (x-c)²

If b is an odd number, then c will be a fraction.

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