Question

What is the missing length??

Answer 1

The missing length is 10

Explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

`(15 + x) : (12 + 8) = x : 8`

`15 + x : 20= x : 8`

Convert to fraction

`(15 + x)/(20) = (x)/(8)`

Cross Multiply:

`(15 + x)*8 = 20 * x`

`120 + 8x = 20x`

Collect Like Terms

`20x - 8x = 120`

`12x = 120`

Solve for x

`x = (120)/(10)`

`x = 10`

The length of the missing side is 10