Question

What would the length of a shape with 10 inches as width be with a shape similar with a length of 4 and a width of 6?

Answer 1

The length of a shape is 20/3 inches

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the length of a shape in inches

Set the proportion

`(x)/(4)=(10)/(6)`

solve for x

`x=(10)/(6)(4)`

`x=(40)/(6)\ in`

Simplify

`x=(20)/(3)\ in`

therefore

The length of a shape is 20/3 inches