A sheet of paper contains 18 square feet. The top and bottom margins are 9inches and the side margins are 6 inches. What are the dimensions of the pagethat has the largest printed area?

The dimensions of the page are

3.46 ft by 5.20 ft

Step-by-step explanation:

Let

x---> the length of the sheet of paper in feet

y ---> the width of the sheet of paper in feet

so

-----> equation A

Remember that

Convert the margins into feet

so

we know that

The area of the largest printed area is given by

substitute equation A in the above expression

Now we have an output (A) in terms of only one variable (x),

so

we differentiate:

equate to zero

Find the value of y

therefore

The dimensions of the page are

3.46 ft by 5.20 ft

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step-by-step explanation: