Question

URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.

What is the width of the floor?

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The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.

Answer 1

The width of a rectangular floor with an area of 80 square feet and the length being 2 feet less than the width is found through solving a quadratic equation, resulting in a width of 10 feet.

Step-by-step explanation:

To find the width of the floor when the area of a rectangular floor is 80 square feet and the length (L) is 2 feet less than the width (W), we can use the equation L × W = Area to set up an algebraic equation. Since the length is 2 feet less than the width, we express the length as L = W - 2. Substituting the values we get:

W × (W - 2) = 80

This simplifies to a quadratic equation:

W^2 - 2W - 80 = 0

Factoring this quadratic equation, we get:

(W - 10)(W + 8) = 0

Therefore, W can either be 10 or -8. Since width cannot be negative, the width of the floor is 10 feet.

Answer 2

The width of the floor is 10 ft.

Step-by-step explanation:

First, you have to form expressions of width and length in terms of w. With the given information :

width = w ft

length = (w - 2) ft

Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :

A = l × w

80 = (w - 2) × w

w(w - 2) = 80

w² - 2w = 80

w² - 2w - 80 = 0

(w + 8)(w - 10) = 0

w + 8 = 0

w = -8 (rejected)

w - 10 = 0

w = 10