The length, l, of a rectangle is decreasing at the rate of 2cm/sec, while the width, w, is increasing at the rate of 2 cm/sec. when l = 12 cm and w = 5 cm, find the rates of change of :
a) the area
b) the perimeter
c) the lengths of the diagonals of the rectangle

A) 14 cm² per sec

B) 0 cm per sec

C) -28 cm per sec

Step-by-step explanation:

We know that,

If l = length of a rectangle and w = width of the rectangle

A) Area of a rectangle,

Differentiating with respect to t ( time )

We have,

B) Perimeter of the rectangle,

Differentiating with respect to t ( time ),

C) Length of the diagonal,

Differentiating with respect to t ( time ),

Since, if l = 12 cm, w = 5 cm,

answer: about 22.67

step-by-step explanation:

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076