Question

What is the value of x?



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Answer 1

The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,

`(42)/((15 + 42)) = (x)/(10 + x)`

Simplify:

`(42)/(57) = (x)/(10 + x)`
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28