# a rectangle has one side of 10 cm. how fast is the area of the rectangle changing at the instant when the other side is 17 cm and

a rectangle has one side of 10 cm. how fast is the area of the rectangle changing at the instant when the other side is 17 cm and increasing at 5 cm per minute? (give units.)

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1. Hence 85 is the area of the rectangle changing at the instant when the other side is 17 cm and increasing at 5cm per minute.
What is rectangle?
• A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart.
• Because of this, it is also known as an equiangular quadrilateral.
• Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
the area of the rectangle changing at the instant when the other side is 17 cm  and increasing at 5cm per minute
This can be written as A=17x
Now differentiate with respect to t.
dA/dt=17 dx/dt
increasing at 5cm per minute
dx/dt=5
dA/dt=17 (5)
dA/dt= 85