9514 1404 393
Answer:
215.6 cm^2
Step-by-step explanation:
The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...
A = LW
A = (12.25 cm)(3.25 cm) = 39.8125 cm^2
The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...
A = (7.25 cm)(3.25 cm) = 23.5625 cm^2
The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...
A = (12.25 cm)(7.25 cm) = 88.8125 cm^2
Then the total area is ...
area = middle rectangle + 2×side wings + 2×top/bottom wings
= 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2
The area of the figure is about 215.6 cm^2.
