We have two rectangles such as: Rectangle 1 = X Rectangle 2 = Y Where the ratio of the two is: Ratio = X / Y = 3/4 If x length is 10, we can solve for y length such as: 10 /Y length =3/4 Y length = 40/3 = 13.33
If x width is 5, then we can solve for y width such as: 5/y width = 3/4 y width = 20/3 = 6.67
The Perimeter of Pan Y is shown below: Y perimeter = 2(6.67) + 2(13.33) Y perimeter = 40
Area of the squares (6): A 1 = 6 · 10² = 600 in² Area of the equilateral triangles (6): A 2 = 6 · 10²√3 / 4 = = 6 · 25 · 1.73 = 259.8 in² Area of the hexagon: A 3 = 6 · 10²√3/4 = 259.8 in² Total area: 600 + 259.8 + 259.8 = 1,119.6 in² Answer: C )
