A rectangle is 3.2 centimeters wide and 8 centimeterslong.A similar rectangle is 5centimeters long.What is the width of the second rectangle.
8/5=3.2/w
solve for w
w=5*3.2/8
To find the width of the second rectangle, we need to determine the scale factor between the two rectangles. The scale factor is the ratio of any corresponding side lengths in the two rectangles.
In this case, we know that the length of the second rectangle is 5 centimeters, while the length of the first rectangle is 8 centimeters. To find the scale factor, we divide the length of the second rectangle by the length of the first rectangle:
Scale factor = Length of second rectangle / Length of first rectangle
= 5 cm / 8 cm
Now, we can use the scale factor to find the width of the second rectangle. Since the width of the first rectangle is 3.2 centimeters, we multiply it by the scale factor:
Width of second rectangle = Width of first rectangle * Scale factor
= 3.2 cm * (5/8)
Multiplying 3.2 by 5/8, we get:
Width of second rectangle ≈ 2 cm
Therefore, the width of the second rectangle is approximately 2 centimeters.