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Kelly's art teacher asked him to draw a rectangle with a length of 6 inches and a width of 10 inches. After Kelly does so, his teacher changes her mind and asks him to draw a proportional rectangle that has a length of 9 inches. How many inches wide is the new rectangle?

 Nov 8, 2020
edited by Guest  Nov 8, 2020
 #1
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Hello Guest.

 

 

"Andrew is building a scale model of an elephant. He determines that a real elephant is 10 feet tall and 14 feet long. If Andrew wants his model to be 8 inches tall, how many inches long should his model be?"

 

SOLUTION:

We can use ratios to help us solve this problem here.

We already know the ratio for height, which is 10:8. Now, we just have to set the width of his drawing to $x$ and write out an equivalent ratio for that: \[\frac{10}{8}=\frac{14}{x}.\] Simplifying and cross multiplying, we get $\boxed{x=\frac{56}{5}}$

 

I hope this helped! angel

 Nov 8, 2020
 #2
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Teacher changed the dimension from length of 6    to length of  9

   length changed by a factor of 1.5     (because   6 x 1.5 = 9)

      width should chnage by the same proportion   10 * 1.5   =   15 inches

 Nov 8, 2020
 #3
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Please don't chnage your question after an answer has been posted.....just post a new question .....o/w it is very confusing

 Nov 8, 2020
 #4
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Kelly's art teacher asked him to draw a rectangle with a length of 6 inches and a width of 10 inches. After Kelly does so, his teacher changes her mind and asks him to draw a proportional rectangle that has a length of 9 inches. How many inches wide is the new rectangle?

 Nov 8, 2020

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