the scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral?
All corresponding linear dimensions, including the perimeter, of the large figure are twice those of the the small figure.
To find the perimeter of the larger quadrilateral, we need to use the given scale factor and the perimeter of the smaller quadrilateral.
The scale factor of 1:2 means that every length of the smaller quadrilateral is multiplied by 2 to get the corresponding length of the larger quadrilateral.
Let's say the perimeter of the smaller quadrilateral is P. Since P = 80 centimeters, we need to find the perimeter of the larger quadrilateral.
Since the scale factor is 1:2, the corresponding lengths of the larger quadrilateral are twice the lengths of the smaller quadrilateral.
Therefore, the perimeter of the larger quadrilateral is 2 * P = 2 * 80 = 160 centimeters.
Therefore, the perimeter of the larger quadrilateral is 160 centimeters.