Question

Among all rectangles that have a perimeter of 176, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.

Answer 1

To get the largest area, the length and the width have to be as close as possible, if not the same.

Given Perimeter = 176 unit.
Length = 176 ÷ 4 = 44 units

Area = Length x Width
Area = 44 x 44 = 1936 units²

1936 units² is the largest possible area, given that the perimeter is 176 units. The dimension being 44 by 44

Answer 2

Th rectangle whose area is largest is a square.  So the dimensions of a rectangle with maximum area is  176 / 4 = 44 

Dimensions are 44 * 44.