cdelomas
A banner is 4 feet longer than its width the area is 77 square feet. what is the width and length
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kirk.freedman
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|dw:1354222764363:dw|
so w(w+4)=77
cdelomas
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soould be the width and length
kirk.freedman
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yes, so do you know how to solve this equation above? that will give you your width
cdelomas
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no
cdelomas
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would it be 16
cdelomas
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sorry 8
kirk.freedman
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have you learned how to factor?
cdelomas
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no
kirk.freedman
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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
kirk.freedman
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subtract 77 from both sides and your equation is now w^2+4w-77=0
kirk.freedman
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Now you must factor it. When I factor it I get (w+11)(w-7)=0
kirk.freedman
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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.
kirk.freedman
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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.