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The sides of a square are 2^4/9 inches long. what is the area of the square?
A. 2^16/81 square inches
B. 4^16/81 square inches
C. 2^8/9 square inches
D. 4^8/9 square inches

Respuesta :

MathWz
The area of a square is the length of a side times itself:
2_4/9 * 2_4/9
Mixed numbers cannot be multiplied, so first convert to improper fractions:
(9*2)+4 = 18+4 = 22/9
22/9 * 22/9
Multiply straight across:
(22*22)/(9*9) = 484/81
Now turn this into a mixed number:
81 goes into 484 five times with 79 left over:
5_79/81 square inches
Since this is not one of the answer choices, I'm wondering if the given length of the side of the square is incorrect?