Perimeter = 2( Length + Width)
Given that Perimeter = 3 1/12 feet and Width = 2/3 foot, plug the values into the formula to find the length:
3 1/12 = 2( Length + 2/3)
3 1/12 = 2Length + 4/3
2 Length = 3 1/12 - 4/3
2 Length = 7/4
Length = 7/4 ÷ 2
Length = 7/4 x 1/2
Length = 7/8
Now that we know the length is 7/8 and the width is 2/3, find the area:
Area = Length x Width
Area = (7/8)(2/3) = 7/12
Answer: Area = 7/12 ft²