Help Please!!
The length of a rectangle is 7 inches more than 5 times its width. The area of the rectangle is 6 square inches. What is the width?

Respuesta :

Answer:  3/5 inches

Step-by-step explanation:

l= 5w+7

A = wl

w(5w+7) = 6

5w²+7w = 6

5w²+7w -6 = 0

5w²+10w-3w-6=0

5w(w+2)-3(w+2)=0

(5w-3)(w+2)=0

5w-3=0            w+2=0

   5w=3                w=-2in

     w=3/5in

width cannot be negative, so the width is 3/5 inches.

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