A poster is to have an area of 210 in2 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.

Let the dimensions are length = 21in and width = 10 in.

Area of poster = length x width = 21 x 10 = 210 in2 (given)

Adding 1 inch on both sides makes the width = 10 + 1 + 1 = 12 inch

Adding 1 inch at the both and 2 inches at the top = 21 + 1 + 2 = 24 inches

Thus the exact dimensions that will give the largest area are length = 24 inches and width = 12 inches, while the maximum area of the poster = 24 x 12 = 288 in2