Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square

Sagot :

MrRoyal

Answer:

[tex]x= 3.5[/tex]

Step-by-step explanation:

Given

[tex]k =1:4[/tex] --- scale factor

See attachment for squares

Required

Find x

The corresponding side of length x on the bigger square is 14.

So, we have:

[tex]k = x : 14[/tex]

Equate both values of k

[tex]x : 14 = 1 : 4[/tex]

Express as fractions

[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]

Solve for x

[tex]x= \frac{1 }{ 4} * 14[/tex]

[tex]x= \frac{14}{4}[/tex]

[tex]x= 3.5[/tex]

View image MrRoyal
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.