Question

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

Answer 1

Answer:

36cm

Step-by-step explanation:

Given: The square has a perimeter of $160\text{cm}$ ,the square is dilated with a scale factor of $0.9$.

To Find: length of each side of the dilated square.

Solution:

Perimeter of square  $=160\text{cm}$

length of each side of perimeter  $=\frac{\text{perimeter of square}}{4}$

                                                       $=40\text{cm}$

Now,

the square is dilated by scale factor  $0.9$

new perimeter of square   $=\text{old perimeter}\times\text{scale factor}$

                                           $=160\times0.9$

                                           $=144\text{cm}$

new length of each side of square $=\frac{\text{perimeter}}{4}$

                                                         $=\frac{144}{4}$

                                                         $=36\text{cm}$

Hence the length of each side of dilated square is $36\text{cm}$

Answer 2

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