SOLUTION: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is

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Question 408030: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7 centimeters and the area is 88 square centimeters?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+ba%2F2 ==> 2%28dA%2Fdt%29+=+%28db%2Fdt%29a+%2B+b%28da%2Fdt%29
dA%2Fdt+=+3+cm%5E2%2Fmin, da%2Fdt+=+2.5+cm%2Fmin.
When a = 7 cm and A = 88+cm%5E2, b = 176+cm%2F7+.
Now you got everything you need to find db%2Fdt.
Good luck!