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aleksklad [387]
2 years ago
14

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?

Drag the answers into the boxes to correctly complete the statements.


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.
Mathematics
1 answer:
KatRina [158]2 years ago
3 0

Answer:

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

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