a rectangle has a length of 22 feet less than 6 times its width. if the area is of the rectangle is 868 square feet,find the length of the rectangle

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Respuesta :

Answer:

Length=62 feet

Step-by-step explanation:

L x W =area   area= 868    L=6W-22

868=W x (6W-22)

868=6W^2-22W

reorder equation

6W^2-22W-868=0

Factor

(3W-42)(2W+20.7)=0

3W=42

W=14, then L=6(14)-22=62

Check:

62x14=868