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?

Guest Nov 8, 2020

edited by
Guest
Nov 8, 2020

#1**+1 **

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!

ETERNITY Nov 8, 2020

#2**0 **

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

Guest Nov 8, 2020