mikey9770 mikey9770

20-12-2022
Mathematics

Answered

a rectangular poster is to contain 200 square inches of print. the margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. what should the dimensions of the poster be so that the least amount of poster is used? in (smaller value) in (larger value)

Answer :

abhinavjh321 abhinavjh321

25-12-2022

The dimensions of the poster should be 15 in x 23 in so that the least amount of poster is used for rectangular poster.

We can calculate the area of the poster by subtracting the areas of the margins from the total area of the poster.

Total area = 200 square inches

Margin area = (2 inches x 15 inches) + (1 inch x 23 inches) = 39 square inches

Poster area = 200 - 39 = 161 square inches

Now we can calculate the dimensions of the poster by using the formula for the area of a rectangle, which is length x width.

161 = l x w

We can solve for l and w by dividing both sides of the equation by w.

161/w = l

Now we can solve for w by dividing both sides of the equation by l.

161/l = w

The dimensions of the poster should be 15 in x 23 in so that the least amount of poster is used for rectangular poster.

Learn more about rectangle here

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