Question

Two rectangles are similar. One has a length of 11 cm and a width of 10cm, and the other has a width of 7cm. Find rhe length of the second rectangle. Round to the nearest tenth if necessary

Answer 1

I believe the length of the second rectangle would be 7.7cm.

Answer 2

For this case we have to:

Let
`l_ {1} = 11 \ cm` and
`w_ {1} = 10` \ cm, respectively, the length and width of the first rectangle.

Let
`l_ {2}` and
`w_ {2} = 7 \ cm`, respectively, the length and width of the second rectangle.

If both rectangles are similar, it is true that:

`\frac {l_ {2}} {l_ {1}} = \frac {w_ {2}} {w_ {1}}`

Substituting:

`\frac {l_ {2}} {11} = \frac {7} {10}\\\frac {l_ {2}} {11} = 0.7\\l_ {2} = 11 * 0.7\\l_ {2} = 7.7 \ cm`

Answer:

`7.7 \ cm`