Question

The frame is being enlarged to hang on a gallery wall. Using the scale factor of 1 in = 3 ft, give the new dimensions of the outside edges of the frame. New Dimensions: 5in. = ___________ 7in=___________

Answer 1

Part A)
`5\ in=15\ ft`

Part B)
`7\ in=21\ ft`

Explanation:

we know that

The scale factor is
`(1)/(3)(in)/(ft)`

so

using proportion

Part A)

`(1)/(3)(in)/(ft)=(5)/(x)(in)/(ft)\\ \\x=5*3\\ \\x=15\ ft`

therefore

`5\ in=15\ ft`

Part B)

`(1)/(3)(in)/(ft)=(7)/(x)(in)/(ft)\\ \\x=7*3\\ \\x=21\ ft`

therefore

`7\ in=21\ ft`