Question

A rectangle whose​ width-to-length ratio is approximately 5 to 8 is called a golden rectangle and is said to be pleasing to the eye. Using this​ ratio, what should the length of a rectangular picture be if its width is to be 70 ​inches?

Answer 1

In order to be a golden rectangle, the length of a rectangular picture has to be 112, if its width is 70 ​inches.

Explanation:

If a golden rectangle has the width-to-length ratio
`(5)/(8)` then

`(5)/(8)` =
`(70)/(width)`

From this equation, we get 8×70=5×width

And width=
`(8*70)/(5)`=112