Question

Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.

Answer 1

The width of the frame must be 12 inches (15in by 12in)

Explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

`Scale = Length : Width`

For the painting,

`Scale = 20: 16`

For the frame,

`Scale = 15: w`

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

`15 : w = 20 : 16`

Express as fraction

`(w)/(15) = (16)/(20)`

`(w)/(15) = 0.8`

Make w the subject

`w = 15 * 0.8`

`w = 12`

The width of the frame must be 12 inches i.e. 15in by 12in frame