Question

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.

Answer 1

To find the largest possible printing area on a poster with an area of 1225 cm² and margins of 5 cm at the top and bottom and 8 cm on each side, we need to subtract the area taken by the margins from the total area and solve for the dimensions of the printing area.

Step-by-step explanation:

Given the total area of the poster is 1225 cm2 and the margins are 5 cm (top and bottom) and 8 cm (sides), we can calculate the area of the printing area by subtracting the areas of the margins from the total area.

Largest possible printing area = Total area - Area of margins

The top and bottom margins together are 5 cm + 5 cm = 10 cm. Similarly, the side margins together are 8 cm + 8 cm = 16 cm. Let's say the dimensions of the printing area are (x + 16) cm and (y + 10) cm, where x and y are the width and height of the printing area.

Area of poster = (x + 16) * (y + 10)

1225 cm2 = (x + 16) * (y + 10)

Solving this equation for the largest possible x and y values will give us the largest possible printing area, which should then be rounded off to four decimal places.