How Do You Calculate the Rate of Area Increase in an Expanding Rectangle?

In summary: Related Rates?In summary, a rectangle is expanding so that its length is always twice its width. The perimeter of the rectangle is increasing at a rate of 6cm/min. Find the rate of increase of the area of the renctangle when the perimeter is 40 cm.
  • #36
He is correct the dA/dt was not 70. If you look at coomast and his posts the reason he got his equation is by a^2(t ^2)+ b^2. Then plug in the numbers you have. L(t)=sqrt(4900t^2+2500)
 
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  • #37
For my answer, I got 14700/sqrt(46600) and the back of my textbook has 1470/sqrt(466), which are both equivalent. I think I have it right.
 
  • #38
bondgirl007 said:
For my answer, I got 14700/sqrt(46600) and the back of my textbook has 1470/sqrt(466), which are both equivalent. I think I have it right.

Indeed you do; problem solved
 
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