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Alex777 [14]
4 years ago
6

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
Mathematics
2 answers:
Stels [109]4 years ago
6 0

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]4 years ago
5 0

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

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