Answer:
Explanation:
The side length of the original square is 3 1/2 inches.
To find the side length of the new square, we need to apply the scale factor of 2/3 to the original side length.
To do this, we multiply the original side length by the scale factor:
(2/3) x 3 1/2
To multiply a fraction by a whole number, we can first convert the whole number to a fraction with a denominator of 1:
(2/3) x (7/2)
To multiply two fractions, we can multiply their numerators together and their denominators together:
(2/3) x (7/2) = (2 x 7) / (3 x 2) = 14/6
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:
14/6 = (2 x 7) / (2 x 3) = 7/3
Therefore, the side length of the new square is 7/3 inches.