What is the area of the figure?
3 m
2 m
8.2 m
5.2 m
4 m
Thank you

We can break this figure up into 3 rectangles. The 3x6 one, the 6x9 one, and the 15x12 one. Then, to find the area of the figure all we need to do is multiply and add them up. 3*6=18, 6*9=54, and 15*12=180. Then, we do 18+54+180= 252 sqaure inches, so your answer would be the first option.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.