Question

What is the value of x

Answer 1

The value of x is 5 cm

Explanation:

we can see that there are two triangles

smaller triangle and larger triangle

and both triangles are similar

so, the ratio of their sides must be equal

we get

`(x)/(x+30)=(4)/(4+24)`

now, we can solve for x

`(x)/(x+30)=(4)/(28)`

we can cross multiply

`x\left(4+24\right)=\left(x+30\right)\cdot \:4`

`28x=4x+120`

Subtract both sides by 4x

`28x-4x=4x+120-4x`

`24x=120`

Divide both sides by 24

`(24x)/(24)=(120)/(24)`

`x=5`