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------------------------------------------------ The perimeter of a rectangular floor is 120 feet. Find the dimensions of the floor if the length is four times the width.

To find the dimensions of the floor, we set up an equation using the given information. Solving the equation, we find that the width of the floor is 12 feet and the length is 48 feet.

Explanation:

To find the dimensions of the floor, we can set up an equation based on the information given. Let's assume the width of the rectangle is 'w'. Since the length is four times the width, the length would be '4w'. The perimeter of a rectangle is given by the formula P = 2(length + width). So, the equation for the perimeter of the floor would be: P = 2(4w + w).

Now, simplify the equation to find the value of 'w'. P = 10w. Since the given perimeter is 120 feet, substitute P = 120 in the equation and solve for 'w'. 120 = 10w. Divide both sides by 10 to isolate 'w'. w = 12.

Therefore, the width of the floor is 12 feet, and the length is four times the width, which is 48 feet.

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