Find the area of the trapezoid.

365 in2

307.5 in2

615 in2

182.5 in2

Step-by-step explanation:

The area of trapezoid is given by :-

, where a and b area the bases and h is height of the trapezoid.

Given: The length of the bases are 20 in. and 29.2 in. cm.

The height of the trapezoid = 12.5 in.

Now, the area of a trapezoid will be:-

Hence, the area of a trapezoid  =

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.