The seating area in a theator is on the shape of a trapezoid. the stage is 5p ft across in the front and in the back 70 ft wide. the seating area is 65 ft deep. what is the area of the seating area

Part a) The area of the seating area is

Part b) The area of the stage is

Step-by-step explanation:

The complete question is

The seating area in a theater is in the shape of a trapezoid.

The stage is 50 feet across at the front; the back row of seats is

70 feet wide. The seating area is 65 feet deep. What is the area of

the seating area?

b. The stage is also in the shape of a trapezoid. It is 50 feet wide at

the front and 43 feet wide at the back. The stage is 36 feet deep.

Find the area of the stage              

see the attached figure to better understand the problem

we know that

The area of a trapezoid is equal to

where

b_1 and b_2 are the length side of parallel bases

h is the height or deep of trapezoid

Part a) In this problem we have

substitute in the formula

Part b) In this problem we have

substitute in the formula

8121 because

130,000 divided by 16 is 8121

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.