SOLUTION: The length of a rectangle is 6cm more than its width. The area is 216 sq cm. What are the dimensions? I have w= width, l= w+ 6cm = length A= 216cm^2 I set it up like this: 216cm^

Question 643879: The length of a rectangle is 6cm more than its width. The area is 216 sq cm. What are the dimensions? I have w= width, l= w+ 6cm = length A= 216cm^2
I set it up like this: 216cm^2= w+ 6cm(w)= 216cm^2= w^2+ 6cmw= 216cm^2- w^2-6cmw=0
and that's when i just got stuck I'm not sure if i was doing it right in the first place. Can I please have a bit of guidance?

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

The length of a rectangle is 6cm more than its width. The area is 216 sq cm. What are the dimensions? I have w= width, l= w+ 6cm = length A= 216cm^2
I set it up like this: 216cm^2= w+ 6cm(w)= 216cm^2= w^2+ 6cmw= 216cm^2- w^2-6cmw=0
and that's when i just got stuck I'm not sure if i was doing it right in the first place. Can I please have a bit of guidance?

Let width be W
Then length = W + 6
A, or area = LW
Since area = 216, then: 216 = W(W + 6)

(W - 12) (W + 18) = 0

W - 12 = 0, or W = - 18 (ignore as measurement CANNOT be negative)

W, or width =

Length = 12 + 6, or cm

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
RELATED QUESTIONS
The length of the rectangle is 6cm more than it's width. The area is 216 cm squared. What (answered by josgarithmetic)

The length of a rectangle is 18 cm more than the width. A second rectangle is 6cm... (answered by MathLover1)

The length of a rectangle is 4 cm more than the width. If the length is increased by 8... (answered by halbren)

On this problem, my instructor asks that we use the Pythagoreans Theorem. The length... (answered by ptaylor)

Question: If the area of a golden rectangle is 6m squared, what are the length and width... (answered by Fombitz)

The length of a rectangle is 4 cm more than 2 times its width. If the area of the... (answered by ptaylor)

the width of a rectangle is 8 cm. less than its length and the area is 20 sq cm. what are (answered by Fombitz)

The perimeter of a rectangle is 26 m. The length is 1 m more than twice the width. Find... (answered by jim_thompson5910)

I know this is the right answer but what are the steps that gets me there? The length... (answered by checkley71)