You are designing a poster with an area of 1225 cm2 to contain a printing area in the middle and have the margins of 5cm at the top and bottom and 8cm on each side. Find the largest possible printing area. Round your answer to the nearest four decimal places.

The largest possible printing area is 810 cm2.

Since you are designing a poster with an area of 1225 cm2 to contain a printing area in the middle and have the margins of 5cm at the top and bottom and 8cm on each side to find the largest possible printing area, the following calculation must be performed :

Therefore, the largest possible printing area is 810 cm2.

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The largest possible print area is

Step-by-step explanation:

Represent the dimensions of the poster with x and y

So:

Make x the subject

The top and bottom margin which are: 5cm and 8cm respectively, implies that 2 times each measurement of each dimension will be removed to get the print area.

So, the dimension of the print space is:

x - 10 by y - 16

Print Area is;

Substitute in

Open Bracket

Different w.r.t y

To get y, we have to set:

So:

Add 10 to both sides

Cross Multiply

Divide both sides by 10

Take square roots

Recall that:

Also, recall that the print area is calculated using:

So:

Hence, the largest possible print area is