1) The length L of a rectangle is decreasing at 2 cm/s (centimeters per second), while the width is increasing at 2 cm/s. When L = 12 cm and w = 5 cm, find the rate of change of the length of a diagonal of the rectangle.

Is there a formula for the length of a diagonal of a rectangle? I have no idea how to go about this problem.

2) Terry flies a kite at a height of 300 ft. The wind carrying the kite horizontally away at a rate of 25 ft/sec. How fast must she let out the string when the kite is 500 ft away from her?

I set up a triange and got h = 300, b = 400, and the hypotenuse equals 500. I don't know what the 25 is supposed to stand for though? h', b'? I don't really understand what the question is asking. Please help me!

thank you in advance!

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