Malik bought a charger that are shaped like a regular octagon. If the charger has the dimensions shown, what is the area of the charger?
*Picture not drawn to scale
A.
164 square inches
B.
68 square inches
C.
272 square inches
D.
128 square inches
To find the area of a regular octagon, you can use the formula A = 2 * (1 + √2) * s^2, where s is the length of one of the sides.
In this case, the side length is 4 inches (as given in the diagram).
A = 2 * (1 + √2) * 4^2
A = 2 * (1 + √2) * 16
A = 2 * (1 + √2) * 16
A = 2 * (1 + 1.41) * 16
A = 2 * 2.41 * 16
A = 4.82 * 16
A = 77.12
Therefore, the area of the charger is approximately 77.12 square inches. None of the options provided match this value exactly, but the closest option is 68 square inches (option B).