Prepswift Similar Triangles question doesn't make sense


Where does 5y come from and similar where does 7y come from.
How is area 0.5

As the solution explains, the base and height between the two triangles have the same ratio since they are similar triangles.

Base of Triangle P : Base of Triangle Q = 5 : 7

The same will apply to height of triangles

Height of Triangle P : Height of Triangle Q = 5 : 7

So if you take the height of triangle P as y, then the height of triangle Q will be 7y/5
or you could take triangle P’s height as 5y, then the height of triangle Q will be 7y, which is easier to work with. If you go with the former approach, it will yield the same results too.
But that latter is smoother (for calculation) because the heights are not a fraction.

where does 1.5 come from

Can you be more specific? What 1.5 are you referring to?

what is 1.5 in the solution

I don’t see a 1.5 in the solution anywhere? Pls Point out where it is

it is 0.5.
My apologies

That is the area of triangle formula,

ar(P) = 1/2 * b * h