Question

You need to order carpet for a room that has a length that is three times its width. if the area of the room is 432 square feet, find the width of the room.

Answer 1

To find the width of the room, set up an equation using the given information. Solve for x, which represents the width. The width of the room is 12 feet.

Step-by-step explanation:

To find the width of the room, we can set up an equation using the given information. Let's assume the width of the room is x. Since the length is three times the width, the length would be 3x. The area of a rectangle is found by multiplying the length and width, so we can set up the equation 3x * x = 432. Simplifying this equation, we get 3x² = 432. Dividing both sides by 3, we have x² = 144. Taking the square root of both sides, we get x = 12. Therefore, the width of the room is 12 feet.

Answer 2

let
x------> the length of a room
y-----> the width of a room

we know that
Area of a room=x*y
Area of a room=432 ft²
so
432=x*y-----> equation 1

x=3y-----> equation 2

substitute equation 2 in equation 1
432=[3y]*y----->432=3y²
y²=432/3
y²=144----------> y=√144-----------> y=12 ft
x=3y-----> x=3*12-----> x=36 ft

the answer is
the width of the room is 12 ft