The square has a perimeter of 160 cm if the square is dilated with a scale factor of 0.9 what is the length of each side of the dilated square in centimeters

36 cm

Step-by-step explanation:

Given : The square has a perimeter =160 cm.

Perimeter of square = 4 (side)

Therefore , the side of square = (Perimeter)÷ 4

= 160 ÷ 4 = 40 cm

The new length of side after dilation = (Scale factor) x (Length of original figure)

For scale factor = 0.9

The new length of each side of the dilated square = (0.9)x(40)=36 cm

Hence, the new length of each side of the dilated square=  36 cm