Chapter 6, Problem 46SGR

To determine

To calculate:Tofind the new size of the photograph

Answer to Problem 46SGR

New size of photograph is $10.5$ inch by $7.5$ inch

Explanation of Solution

Given information: Percy wants to increase the dimensions of his $5$ inch by $7$ inch photograph by a scale factor of $1.5$ on his computer.

Formula Used: A dilation is a transformation that produces an image that is the same shape as the original, but it is different size.

Dilation with scale factor $m$ means

  $\left(x,y\right)\to \left(mx,my\right)$

Calculation:

Sides of photograph are as follows:

  $Length=7$ inch

  $Width=5$ inch

Also, scale factor is

  $k=1.5$

Thus, new size of photograph

  $Lengt{h}^{\prime }=7\times 1.5=10.5$ inch

  $Widt{h}^{\prime }=5\times 1.5=7.5$ inch

Hence, new size of photograph is $10.5$ inch by $7.5$ inch