Question

Somebody please help me

Answer 1

A). Scale factor =
`(1)/(4)`

B). Length of the unknown side = 2.75 feet

Explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor =
`\frac{\text{Side length of the image}}{\text{Side length of the preimage}}`

=
`\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}`

=
`(4)/(16)`

=
`(1)/(4)`

Part B

Scale factor =
`\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}`

`(1)/(4)=\frac{\text{Side length of the smaller rectangle}}{11}`

Therefore, side length of the unknown side =
`(11)/(4)` = 2.75 feet