Part 1: perimeter = 2(Length + width) if the width is 1/3 it's length, then width = 1/3L plug that into the first equation perimeter = 2( L + 1/3L)
Part 2: the perimeter of the rectangle from part 1 is 56 inches. using this we can solve for L, the length: 56 = 2(L + 1/3 L) 56 = 2L + 2/3L 56 = 2 2/3 L L = 21
Now that we know the length, we can solve for the width. L = 21 W = 1/3 L W = 1/3 x 21 W = 7
Using the Length (21 inches) and the Width (7 inches), we can solve for the area of the rectangle. Area = length x width Area = 21 inches x 7 inches Area = 147 square inches