Find the dimensions of a rectangle (in m) with area 1,331 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)

The dimensions of the rectangle are x = 36.48 m and  y = 36.48 m

Step-by-step explanation:

Let the sides of the rectangle be x and y

Objective function is given by;

F = 2(x + y)

F = 2x + 2y

The area of the rectangle is given by;

xy = 1331

y = 1331 / x

Substitute in the value of y in objective function;

Determine the derivative of the function;

Find the critical points;

F' = 0

Take the second derivative of the function

Determine the second dimension;

y = 1331 / x

y = 1331 / 36.48

y = 36.48m

Therefore, the dimensions of the rectangle is x = y = 36.48 m

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: