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.

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

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.