Question

What is the value of x?

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Answer 1

`\large\boxed{x=20}`

Explanation:

The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:

`(5x+10+10)/(10)=(121+11)/(11)`

`\drac{5x+20}{10}=(132)/(11)` cross multiply

`11(5x+20)=(10)(132)` use distributive property

`(11)(5x)+(11)(20)=1320`

`55x+220=1320` subtract 220 from both sides

`55x=1100` divide both sides by 55

`x=20`