A poster is to have an area of 240 inÂ² with 1-inch margins at the bottom and sides and a 2-inch margin at the top. Find the exact dimensions that will give the largest printed area.

Question

Mathematics

Zion Alexander

13 September, 00:46

A poster is to have an area of 240 inÂ² with 1-inch margins at the bottom and sides and a 2-inch margin at the top. Find the exact dimensions that will give the largest printed area.

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Answers (1)

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Ross · Answer 1

Answer: 41 inches by 6 inches

Step-by-step explanation:

A poster is in form of a rectangle and the area is length * breadth.

If the area of the poster is 240in² with 1 inch margins at the bottom and sides and 2in margin at the top.

The extra length of the poster will be 1-in at the bottom plus 2-in margin at the top making additional height of 3-inches.

Also, the extra breadth the 1-in at the sides to give breadth of extra 2-inches in total.

The area of the extra length and breath will be 3inches * 2inches to give 6inches.

The area that will give the exact dimension will be 240inches+6inches = 246inches

The dimension an be 41inches by 6inches