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

Question

4 years ago

6

dilated Square in centimeters

2 answers:

Stels [109] · Answer 1 · 2022-01-29T07:46:47+03:00

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 $36\text{cm}$

Citrus2011 [14] · Answer 2 · 2022-01-29T06:37:51+03:00

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