Each side of a square is increasing at a rate of 5 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 36 cm2?

The area of the square is increasing at a rate of 60 cm²/s when the area of the square is 36 cm²

Step-by-step explanation:

From the formula for area of a square

Where is the area

and is the length of a side

Differentiate the equation with respect to time t

Let

Then,

Using Chain rule

Since,

∴ becomes

To determine the rate at which the area of the square is increasing when the area of the square is 36 cm². We will find the length at this instant.

From

∴

From the question,

Each side of a square is increasing at a rate of 5 cm/s, that is

Putting the parameters into the equation,

Hence, the area of the square is increasing at a rate of 60 cm²/s when the area of the square is 36 cm².

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk