## cdelomas 2 years ago A banner is 4 feet longer than its width the area is 77 square feet. what is the width and length

1. kirk.freedman

|dw:1354222764363:dw| so w(w+4)=77

2. cdelomas

soould be the width and length

3. kirk.freedman

yes, so do you know how to solve this equation above? that will give you your width

4. cdelomas

no

5. cdelomas

would it be 16

6. cdelomas

sorry 8

7. kirk.freedman

have you learned how to factor?

8. cdelomas

no

9. kirk.freedman

so you have the equation w(w+4)=77 so the first step would be to do distributive property, so now you have w^2+4w=77

10. kirk.freedman

subtract 77 from both sides and your equation is now w^2+4w-77=0

11. kirk.freedman

Now you must factor it. When I factor it I get (w+11)(w-7)=0

12. kirk.freedman

Now you test both solutions. w+11=0 and w-7=0. When I solve both of those I get w= 7,-11. Since you cannot have a negative width, the answer for the width is 7.

13. kirk.freedman

Now just from the original picture you do w+4, since you know w now, it is 7+4. So you have the width is 7 and the length is 11.