calculus- Related Rates *please show the math work how to find the answer thank-

Question

calculus- Related Rates
*please show the math work how to find the answer
thank-you.

Related rates (multiple rates) One diagonal of a rhombus is decreasing at a rate of 7 centimeters per minute and the other diagonal of the rhombus is increasing at a rete of 10 centimeters per minute. At a certain instant the decreasing diagonal is 4 centimeters and the increasing diagonal is 6 centimeters hat is the rate of change of the area of the rhombus at that instant in square centimeters per minute)? 01 -16 -1 16 d The area of a mambus with is di and de Stuck? Watch a video use a ti

Explanation / Answer

Area of Rhombus = 1/2 * Product of Diagonals = 1/2 * pq

Rate of change of Area = 1/2 * p * dq/dt + 1/2 * q * dp/dt

=> 1/2 * 6 * (-7) + 1/2 * 4 * 10

=> 1/2 * (-42 + 40)

=> -1

Hence the area of rhombus is decreasing at the rate of 1 cm^2/min

Hence the correct answer is Option C

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