Answer: 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
Answer:
36cm
Step-by-step explanation:
Given: The square has a perimeter of [tex]160\text{cm}[/tex] ,the square is dilated with a scale factor of [tex]0.9[/tex].
To Find: length of each side of the dilated square.
Solution:
Perimeter of square [tex]=160\text{cm}[/tex]
length of each side of perimeter [tex]=\frac{\text{perimeter of square}}{4}[/tex]
[tex]=40\text{cm}[/tex]
Now,
the square is dilated by scale factor [tex]0.9[/tex]
new perimeter of square [tex]=\text{old perimeter}\times\text{scale factor}[/tex]
[tex]=160\times0.9[/tex]
[tex]=144\text{cm}[/tex]
new length of each side of square [tex]=\frac{\text{perimeter}}{4}[/tex]
[tex]=\frac{144}{4}[/tex]
[tex]=36\text{cm}[/tex]
Hence the length of each side of dilated square is [tex]36\text{cm}[/tex]
