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).
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
1 answer