Question

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answer 1

19. A. 108 mm²

B. 404.5 in²

Explanation:

19:

Area of Big triangle: ½*base*height

=½*(18mm+10mm)+12mm

=168mm²

Area of Small triangle=½*base*height

=½*10mm*12mm

=60mm²

Now

Area of shaded region=Area of Big triangle - Area of Small triangle

=168-60

=108 mm²

Therefore Area is 108mm².

20.

We know that:

Area of Parallelogram=Base*Height

here

Base=26 in

let's find height

Sin 45°=Opposite/Hypotenuse

Sin 45°=Height/22

Height=Sin 45°*22

Height=
`(1)/(√(2))*22=11√(2)`=15.56

Now,

Area of parallelogram= base*height=26*15.56=404.5 in²

Therefore, Area of Parallelogram=404.5 in²