Find the area of the trapezoid. leave your answer in simplest radical form. the figure is not drawn to scale.
(picture attached below)

answer choices:
a. 70 cm²
b. 50 cm²
c. 75 cm²
d. 65 cm²

you so much in advance! : )

(A)

Step-by-step explanation:

Given is the trapezoid which consists of two triangles and one rectangle, thus from ΔPST, we have

⇒

⇒

Now, area ΔPST=

Also, area ΔQUR=

Area rectangle PQUT=

Therefore, area trapezoid PQRS= area ΔPST+area ΔQUR+Area rectangle PQUT

=

=

Hence, area of trapezoid=

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

21

step-by-step explanation: